The Prague seminar on function spaces

archive of lectures


1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020

1991


October 11

Alois Kufner (Mathematical Institute AS CR, Prague):

Friedrichs inequality in weighted spaces - amalgams in $L\sp p$ and $L\sp q$ (joint work with H.P. Heinig)

October 25, November 1

Bohumír Opic (Mathematical Institute AS CR, Prague):

Poincaré and Friedrichs inequality in Orlicz-Sobolev spaces (joint work with D.E. Edmunds and L. Pick)

November 8

Bohumír Opic (Mathematical Institute AS CR, Prague):

Approximation property of weighted Orlicz spaces (joint work with L. Pick)

November 15, 22, December 13

Petr Gurka (Czech University of Agriculture, Prague):

$A_\infty$ conditions on $\Bbb R\sp 1$ with general measure (joint work with L. Pick)


December 18, 20

Luboš Pick (University of Wales, Cardiff):

The Hardy operator, $L\sp\infty$, and BMO (joint work with Q. Lai)


1992


January 6

Luboš Pick (University of Wales, Cardiff):

Weighted inequalities for the Hardy operator in Orlicz classes


January 17

Jiří Rákosník (Mathematical Institute AS CR, Prague):

Density of smooth functions in the space $W\sp{k,p(x)}(\Omega)$ (joint work with D.E. Edmunds)



January 24 and 31

Jan Lang (Mathematical Institute AS CR, Prague):

Weighted norm inequalities involving gradients (paper by C. Carton-Lebrun and H.P. Heinig)

February 14, 21

Aleš Nekvinda (Czech Technical University, Prague):

Traces of a weighted Sobolev space


March 13, 20

Hana Blovská (Mathematical Institute AS CR, Prague):

Inequalities by majorization (from a book by A. Marshall and J. Olkin)


April 10, 14

Luboš Pick (University of Wales, Cardiff):

One-sided better $\lambda$-inequalities



April 28

Jan Lang (Mathematical Institute AS CR, Prague):

Traces of weighted Sobolev spaces (joint work with A. Nekvinda)



May 12, 15

Alois Kufner (Mathematical Institute AS CR, Prague):

Weighted inequalities and degenerate elliptic PDEs (paper by E.W. Stredulinsky)


May 22

Thomas Strömberg (Lulea University of Technology):

Some Young type inequalities with applications


May 29

Miroslav Krbec (Mathematical Institute AS CR, Prague):

Reverse Hölder inequalities withconstants close to 1 (paper by I. Wik)


June 5, 8

Jiří Rákosník (Mathematical Institute AS CR, Prague):

Smooth approximations of Sobolev functions on planar domains (paper by W. Smith, A. Stanoyevitch and D.A. Stenenga)


October 22

Thomas Schott (Friedrich-Schiller Universität, Jena):

Inequalities of Hardy type


1993


January 8, 11

Luboš Pick (University of Wales, Cardiff):

Weighted Orlicz space integral inequalities for the Hardy-Littlewood maximal operator (paper by S. Bloom and R. Kerman)


April 5, 13

Luboš Pick (University of Wales, Cardiff):

Compactness of Hardy-type operators in weighted Banach function spaces (joint work with D.E. Edmunds and P. Gurka)


August 12

David E. Edmunds (University of Sussex, Brighton):

Poincaré inequalities and Minkowski dimension


August 12

W. Des Evans (University of Wales, Cardiff):

Hardy inequalities on trees (joint work with D.J. Harris and L. Pick)


September 6, 10, 13

Luboš Pick (University of Wales, Cardiff):

Poincaré inequalities on trees (joint work with W.D. Evans and D.J. Harris)


October 4

Hans-Jürgen Schmeisser (Friedrich-Schiller Universität, Jena):

Approximation of functions by generalized sampling series


September 27, October 11, 18

Bohumír Opic (Mathematical Institute AS CR, Prague):

Double exponential integrability of convolution operators in generalized Lorentz-Zygmund spaces (joint work with D.E. Edmunds and P. Gurka)


November 8

R. Oinarov (Alma Ata State University):

Two-weight Hardy inequality


November 15

R. Oinarov (Alma Ata State University):

Weighted inequalities for resolvent of spectrum of Riemann-Liouville operator


November 1, 22, 29

Jiří Rákosník (Mathematical Institute AS CR, Prague):

Generalized ridged domains (paper by W.D. Evans and D.J. Harris)


December 6, 13

Aleš Nekvinda (Czech Technical University, Prague):

Traces of weighted anisotropic Sobolev spaces (joint work with J. Lang)


December 20

Miroslav Krbec (Mathematical Institute AS CR, Prague):

Duality between gehring and Muckenhoupt classes (paper by M. Carozza)


1994


January 5

Luboš Pick (University of Wales, Cardiff):

The Hardy operator, $L\sp\infty$ and BMO


February 2, 9, 16, 23, March 9, 16

Bohumír Opic (Mathematical Institute AS CR, Prague):

Banach Function Spaces (from a book by C. Bennett and R. Sharpley)


January 19, 26

Petr Gurka (Czech University of Agriculture, Prague):

Muckenhoupt's and Sawyer's conditions for maximal operators (paper by Y. Rakotondratsimba)


March 22, 29

Miroslav Krbec (Mathematical Institute AS CR, Prague):

Two limiting cases of Sobolev embeddings (joint work with D.E. Edmunds)


April 20, 27

Jiří Rákosník (Mathematical Institute AS CR, Prague):

The Hardy constant (paper by E.B. Davies)


May 4

Alois Kufner (Mathematical Institute AS CR, Prague):

Hardy inequalities for fractional order derivatives


May 11, 18

Petr Gurka (Czech University of Agriculture, Prague):

Two-weight inequality for fractional maximal operator (paper by R.L. Wheeden)


October 19

Luboš Pick (Mathematical Institute AS CR, Prague):

The Hardy operator and the gap between $L\sp\infty$ and BMO (joint work with J. Lang)


October 26

Aleš Nekvinda (Czech Technical University, Prague):

Difference between continuity and absolute continuity of norm in Banach function spaces (joint work with J. Lang)


November 2

Jan Lang (Mathematical Institute AS CR, Prague):

Embeddings of weighted Orlicz-Lorentz spaces (joint work with M. Krbec)


November 9, 16, 23

Jiří Rákosník (Mathematical Institute AS CR, Prague):

Remarks on Poincaré inequalities (joint work with R.C. Brown and D.E. Edmunds)


November 30

Petr Gurka (Czech University of Agriculture, Prague):

Weighted Poincaré inequalities (joint work with D.E. Edmunds and A. Cianchi)


December 7

Sun Jiong (Inner Mongolia University, China):

Self-adjoint boundary conditions of the Schrödinger operator


December 14

Alois Kufner (Mathematical Institute AS CR, Prague):

Interpolation inequality with Hölder norms


1995


January 18

Alois Kufner (Mathematical Institute AS CR, Prague):

Elementary proof of Hardy's inequality (paper by G. Sinnamon and V. Stepanov)


January 25, February 1, 8

Bohumír Opic (Mathematical Institute AS CR, Prague):

Double exponential integrability, Bessel potentials and imbedding theorems (joint work with D.E. Edmunds and P. Gurka)


February 22

Miroslav Krbec (Mathematical Institute AS CR, Prague):

Imbeddings of weighted Orlicz-Lorentz spaces (joint work with J. Lang)


March 18

Aleš Nekvinda (Czech Technical University, Prague):

Continuity and absolute continuity of norm in Banach function spaces (joint work with J. Lang)


March 22, 29

Petr Gurka (Czech University of Agriculture, Prague):

Sharpness of embeddings in logarithmic Sobolev spaces (joint work with D.E. Edmunds and B. Opic)


April 5, 12, 26

Luboš Pick (Mathematical Institute AS CR, Prague):

Interpolation of operators on scales of generalized Lorentz-Zygmund spaces (joint work with W.D. Evans and B. Opic)


April 19

Hans P. Heinig (McMaster University, Hamilton, Ontario):

Sharp Orlicz space inequalities for the Paley-Titchmarsh inequality)


May 10

Hans P. Heinig (McMaster University, Hamilton, Ontario):

Duality principle on the cone of monotone functions in Orlicz spaces


June 14

Alois Kufner (Mathematical Institute AS CR, Prague):

Hardy's inequality for derivatives of fractional order


June 20, 28

Mario Milman (Florida Atlantic University, Boca Raton):

Extrapolation theory and some of its applications to analysis


June 20

Andrea Cianchi (University of Florence):

Sobolev embedding theorem for Orlicz spaces


September 13

Amiran Gogatishvili (Mathematical Institute Georgian AS, Tbilisi):

Weighted strong type inequalities for integral transforms with positive kernels


September 20, 27, October 4

Alois Kufner (Mathematical Institute AS CR, Prague):

Norm inequalities for derivatives and differences (book by M.K. Kwong and A. Zettl)


October 11

Thomas Schott (Friedrich-Schiller Universität, Jena):

Atomic decomposition of Lizorkin-Triebel spaces with exponential weights


October 18, 25

Miroslav Krbec (Mathematical Institute AS CR, Prague):

Indices in Orlicz spaces and applications to variational integrals (joint work with A. Fiorenza)


November 1, 8

Miroslav Krbec (Mathematical Institute AS CR, Prague):

Limiting embeddings of weighted Sobolev spaces (joint work with T. Schott)


November 15

Miroslav Krbec (Mathematical Institute AS CR, Prague):

Extrapolation of reduced Sobolev embeddings (joint work with H.-J. Schmeisser)


November 20

Alois Kufner (Mathematical Institute AS CR, Prague):

N-dimensional weighted Hardy inequality


November 27, December 13, 20

Aleš Nekvinda (Czech Technical University, Prague):

Maximal difference between continuity and absolute continuity of a norm in Banach function spaces (joint work with J. Lang)


1996


January 17, 24, February 14, 28

Petr Gurka (Czech University of Agriculture, Prague):

Approximation numbers and entropy numbers of embeddings of fractional Besov-Sobolev spaces in Orlicz spaces (paper by H. Triebel)


February 21

Jiří Rákosník (Mathematical Institute AS CR, Prague):

The Hardy-Littlewood maximal function and Sobolev spaces on a metric space (paper by O. Martio)


March 3

Luboš Pick (Mathematical Institute AS CR, Prague):

On the adjoint of the maximal operator (paper by A. de la Torre)


March 20

Ron Kerman (Brock University, St. Catharines):

Weighted mean convergence of Fourier-Jacobi series


March 27

Ron Kerman (Brock University, St. Catharines):

Extrapolation from modular inequalities (joint work with S Bloom)


May 15

Alois Kufner (Mathematical Institute AS CR, Prague):

N-dimensional weighted inequalities


May 20

Bohumír Opic (Mathematical Institute AS CR, Prague):

A note on Gehring's lemma (paper by M. Milman)


June 6

Bohumír Opic (Mathematical Institute AS CR, Prague):

A note on reversed Hardy's inequalities (paper by M. Milman)


July 19, 26

Jiří Rákosník (Mathematical Institute AS CR, Prague):

Weighted norm inequalities for general operators on monotone functions (paper by S. Lai)


August 7

Alois Kufner (Mathematical Institute AS CR, Prague):

Hardy's inequality of fractional order


August 24

Anatoly A. Kilbas (Belarus State University, Minsk):

H-transforms on spaces of p-summable functions


September 11

Andrea Cianchi (University of Florence):

Boundedness of solutions of variational problems under general growth conditions


September 18

Alberto Fiorenza (University of Naples):

Regularity results about some Lagrange problems of calculus of variations


September 25

Alberto Fiorenza (University of Naples):

Grand $L\sp p$ spaces and applications


November 6, 13, 20, December 11, 18

Luboš Pick (Mathematical Institute AS CR, Prague):

Optimal Sobolev embeddings on rearrangement-invariant spaces (joint works with D.E. Edmunds and R. Kerman, and with A. Cianchi)


1997


January 8, 15, 22

Luboš Pick (Mathematical Institute AS CR, Prague):

Optimal Sobolev embeddings on rearrangement-invariant spaces (joint works with D.E. Edmunds and R. Kerman, and with A. Cianchi)


January 29

Winfried Sickel (Friedrich-Schiller Universität, Jena):

Existence and regularity of the Jacobian determinants in the framework of potential spaces


January 30, February 8

Alois Kufner (Mathematical Institute AS CR, Prague):

Some remarks to Hardy's inequality


February 12, 26

Petr Gurka (Czech University of Agriculture):

Norms of embeddings of logarithmic Bessel potential spaces (joint work with D.E. Edmunds and B. Opic)


April 5, 12, 19, 23, May 7, 14, 21

Aleš Nekvinda (Czech Technical University, Prague):

Boundedness of general kernel operators from a Banach Function space into $L\sp\infty$ (joint work with J. Lang and L. Pick)


April 30, May 7

Ron Kerman (Brock University, St. Catharines):

Weighted mean convergence on semigroups (joint work with S. Thangavelu)


May 28, June 4, 11, 25

Jiří Rákosník (Mathematical Institute AS CR, Prague):

Weighted inequalities for monotone and convex functions (paper by H.P. Heinig and L. Maligranda)


June 2

Bohumír Opic (Mathematical Institute AS CR, Prague):

Global limiting embeddings of logarithmic Bessel potential spaces (joint work with P. Gurka)


July 23

Andrea Cianchi (University of Florence):

An optimal interpolation theorem of Marcinkiewicz type in Orlicz space


August 8

Gord Sinnamon (University of Western Ontario, London):

From Hardy's inequality to more general kernels


September 3

Henryk Hudzik (Adam Mickiewicz University, Poznań):

An inequality of Amemiya and Orlicz norms in Orlicz spaces


September 10

Mats Erik Andersson (KTH, Stockholm):

Bergman spaces in interpolation theory, two properties


September 17, 24, October 1

Bohumír Opic (Mathematical Institute AS CR, Prague):

Generalizations of Hardy inequalities (paper by H.P. Heinig and G. Sinnamon)


October 8

Jan Lang (Mathematical Institute AS CR, Prague):

Boundedness of generalized Hardy operators (joint work with A. Gogatishvili)


October 15

George Jaiani (Tbilisi State University):

Bending of a cusp plate with the profile of a general form


October 22, 29

Miroslav Krbec (Mathematical Institute AS CR, Prague):

On the domain and range of the maximal operator (joint work with A. Fiorenza)


November 5, 12

Jiří Rákosník (Mathematical Institute AS CR, Prague):

Pointwise and integral Hardy inequalities (paper by P. Hajlasz and J. Kinnunen, and joint work with D.E. Edmunds)


November 19

Mats Erik Andersson (KTH, Stockholm):

Geometry of inner maximal functions


November 26

Aleš Nekvinda (Czech Technical University, Prague):

On $L\sp{p(x)}$ norms


December 3

Alois Kufner (Mathematical Institute AS CR, Prague):

Some appendix to the Hardy inequality


December 3

Petr Gurka (Czech University of Agriculture, Prague):

Entropy numbers of embeddings of Sobolev spaces in Zygmund spaces (paper by D.E. Edmunds and Yu. Netrusov)


1998


January 14

Luboš Pick (Mathematical Institute AS CR, Prague):

Weighted inequalities for Hardy operator with monotone weights (the paper by J. Cerda and J. Martín)


January 21

Alois Kufner (Mathematical Institute AS CR, Prague):

Higher order Hardy inequalities


January 28

Alois Kufner (Mathematical Institute AS CR, Prague):

Interpolation inequalities for sums with three weights (joint work with R.C. Brown and D. Hinton)


February 4

Pavel Drábek (University of West Bohemia, Pilsen):

Nonhomogeneous eigenvalue problems involving the p-Laplacian


February 11, 18

Miroslav Krbec (Mathematical Institute AS CR, Prague):

Extrapolation characterization of exponential Orlicz spaces (joint work with D.E. Edmunds)


March 3, 25

Petr Gurka (Czech University of Agriculture, Prague):

Entropy numbers of embeddings of Sobolev spaces in Zygmund spaces (the paper by Yu. Netrusov and D.E. Edmunds)


June 3, 10, 17, 24

Jan Lang (Mathematical Institute AS CR, Prague):

Approximation numbers of Hardy operators (joint work with W.D. Evans and D.J. Harris)


October 7, 14, 22, November 4, 11

Petr Gurka (Czech University of Agriculture, Prague):

Optimality of embeddings of logarithmic Bessel potential spaces (joint work with D.E. Edmunds and B. Opic)


November 18, 26, December 2, 9

Luboš Pick (Mathematical Institute AS CR, Prague):

On embeddings between classical Lorentz spaces (joint work with M. Carro, J. Soria and V.D. Stepanov)


December 16, 23

Amiran Gogatishvili (Mathematical Institute AS CR, Prague):

Weighted inequalities for Volterra integral operators in Banach function spaces


1999


January 6

Amiran Gogatishvili (Mathematical Institute AS CR, Prague):

Weighted inequalities for Volterra integral operators in Banach function spaces


February 24, March 3, 10, 24, April 7, 14

Petr Gurka (Czech University of Agriculture, Prague):

Atomic decomposition in Bessel potential spaces


April 15

Nigel Kalton (University of Missouri, Columbia, MO):

The maximal regularity problem (joint work with Gilles Lancier)


April 21, 28

Luboš Pick (Mathematical Institute AS CR, Prague):

The dual of an optimal Sobolev domain (joint work with Ron Kerman)


May 12

David Cruz-Uribe, SFO (Trinity College, Hartford, CT):

Weighted norm inequalities for singular integrals and commutators (joint work with Carlos Pérez)


May 19

Piotr Hajlasz (University of Warsaw):

Sobolev classes on metric spaces


May 19

Jiří Rákosník (Mathematical Institute AS CR, Prague):

Sobolev embeddings with variable exponent


May 19

Hans-Gerd Leopold (Friedrich-Schiller University, Jena)

Limiting embeddings in function spaces of Besov type and entropy numbers


May 26

Amiran Gogatishvili (Mathematical Institute AS CR, Prague):

Reverse Hölder inequalities in Orlicz classes


August 3

Alex Stanoyevitch (University of Guam):

Geometry of Hölder embeddings (joint work with Steve Buckley)


August 4

Laura de Carli (Universita di Napoli):

Unique continuation for a class of degenerate elliptic operators (joint work with T. Okaji)


September 29

Alois Kufner (Mathematical Institute AS CR, Prague):

Compactness of weighted embeddings


October 6

Miroslav Krbec (Mathematical Institute AS CR, Prague):

Decomposition in $L(\log L)\sp{\alpha}$


October 20

Miroslav Krbec (Mathematical Institute AS CR, Prague):

Elliptic equations with right hand side in Zygmund spaces


October 27, November 11

Stanislav Hencl (Charles University, Prague):

Boundary behaviour of absolutely continuous functions of several variables


November 3

Chérif Amrouche (Université du Pau):

Stokes and Navier-Stokes equations: An approach in Hardy and weighted Sobolev spaces


November 17

Jiří Rákosník (Mathematical Institute AS CR, Prague):

On equivalence between weak and strong inequalities for Sobolev functions


November 24


Luboš Pick (Charles University, Prague):

Nash implies Sobolev (joint work with Jan Malý)


December 8


Pekka Koskela (University of Jyvaskylä):

Continuity of monotone functions


November 24, December 15


Bohumír Opic(Mathematical Institute AS CR, Prague):

Sharp embeddings of Bessel potential spaces with logarithmic smoothness (joint work with Walter Trebels)


2000


March 8, 15


Luboš Pick (Charles University, Prague):

An elementary proof of sharp Sobolev embeddings (joint work with Jan Malý)


March 29, April 5


Amiran Gogatishvili (Mathematical Institute AS CR, Prague):

Duality principles and reduction theorems (joint work with Luboš Pick)


April 12

W. Des Evans (University of Wales, Cardiff):

On the approximation numbers of Hardy-type operators on trees (joint work with Desmond J. Harris and Jan Lang)


April 19

Takuya Sobukawa (Okayama University):

Extrapolation theory on $L^p$ spaces


April 26

Takuya Sobukawa (Okayama University):

Yano's theorem and the dual result


May 3

Takuya Sobukawa (Okayama University):

Extrapolation theory for Lorentz spaces


May 10

Takuya Sobukawa (Okayama University):

Characterization of $\sum_r$ spaces of the family $L^{p,q}$


May 17

Takuya Sobukawa (Okayama University):

On the characterization of $\sum_p$ spaces


May 24, 31, June 6, 14

Jan Lang (University of Missouri, Columbia):

Second asymptotics of the approximation numbers of Volterra operators


June 21

J.M. Almira (Universidad de Jaen)

Applications of a general theory of approximation spaces in classical analysis and approximation theory


June 28

Alberto Fiorenza (Universita di Napoli)

A class of Young functions


September 6

Walter Trebels (Technische Universitat Darmstadt)

Two - sided estimates for the approximation behavior of some linear means


Petteri Harjulehto (University of Helsinki)

Traces and Sobolev extension domains


October 4, 11, 18

Amiran Gogatishvili (Mathematical Institute AS CR, Prague)

Estimates of weak solutions of linear elliptic equations in weighted spaces (paper by A. Canale, L. Caso, M. Transirico: An extension of a theorem by C. Miranda in weighted spaces)


October 25

Lasha Ephremidze (Mathematical Institute AS CR, Prague)

On maximal functions


November 1

Lasha Ephremidze (Mathematical Institute AS CR, Prague)

On the uniqueness of maximal function


November 8

Lasha Ephremidze (Mathematical Institute AS CR, Prague)

On reverse weak (1,1) type inequalities for maximal operators with respect to Borel measures


November 15, 22

Takuya Sobukawa (Mathematical Institute AS CR, Prague)

Some open problems from extrapolation theory


November 29, December 6, 13

Petr Gurka (Czech University of Agriculture, Prague)

Sharp Sobolev embeddings and related Hardy inequalities (paper by David Edmunds and Hans Triebel)


2001


January 3, 10

Aleš Nekvinda (Czech Technical University, Prague)

Average operators on $\{l^{p_n}\}$ and $L^{p(x)}$


March 14, 21, 28

Luboš Pick (Charles University, Prague)

Sharp rearrangement estimates for Riesz potential in metric spaces (joint work with Jan Malý)


April 4 and 18

Jan Vybíral (Charles University, Prague)

Rearrangement of Hardy-Littlewood maximal functions in Lorentz spaces (paper by J. Bastero, M. Milman and F. Ruiz)


April 11

Evgennyi Pustylnik (Technion, Haifa)

New interpolation results for spaces of Lorentz-Zygmund type


April 25

Petr Honzík (Charles University, Prague)

Wolff potentials


May 2

Serguei Vodop'yanov (Novosibirsk State University):

Quasiregular mappings in non commutative geometry


May 16, 23

Jan Vybíral (Charles University, Prague):

Distribution and rearrangement estimates of the maximal function and interpolation (paper by I.U. Asekritova, N.Y. Krugljak, L. Maligranda and L.E. Persson).


June 6

Takuya Sobukawa (Okayama University, Japan):

On the extrapolation estimates (joint work with Amiran Gogatishvili).


June 13

Lasha Emphremidze (Mathematical Institute AS CR, Prague):

Faktorization of positive definite matrix--functions and its applications to the Wiener--Kolmogorov prediction theory of stationary processes


June 20

Michael Solomyak (Weizmann Institute, Rehovot, Israel):

Geometry of the Sobolev spaces on a regular metric tree and Hardy inequalities


June 26

Amiran Gogatishvili (Mathematical Institute AS CR, Prague):

Duality principle in Lorentz spaces and applications


September 12

Fernando Cobos (Unversidad Complutense, Madrid):

Some recent results on interpolation of compact operators


October 10

Alberto Fiorenza (Universita di Napoli):

Some questions about Sobolev spaces with variable exponent


October 24

Alex Balinsky (University of Wales, Cardiff):

On the zero modes of Pauli operators


October 31 and November 7

Jan Vybíral (Charles University, Prague):

New Extrapolation Estimates (paper by María Carro)


November 14

Lasha Ephremidze (Mathematical Institute AS CR, Prague)

Rearrangement Inequality for the Ergodic Maximal Function


November 21, 28 and December 5

Lasha Ephremidze (Mathematical Institute AS CR, Prague)

Recent Developments in the Theory of Lorentz Spaces and Weighted Inequalities (book by M.J. Carro, J.A. Raposo and J. Soria)


December 5

Nobuhiko Fujii (Tokai University, Shizuoka, Japan)

On Calderón's reproducing formula.


December 12

Workshop on function spaces



Desmond J. Harris (University of Wales, Cardiff, UK)

Dirichlet-Neuman bracketing in L^p,


W. Des Evans (University of Wales, Cardiff, UK)

On the zero modes of Pauli and Dirac operators,


Hans-Juergen Schmeiszer (Friedrich-Schiller University, Jena, Germany)

Vector-valued function spaces and sharp embeddings.



2002


January 9, February 6

Lasha Ephremidze (Mathematical Institute AS CR, Prague)

Recent Developments in the Theory of Lorentz Spaces and Weighted Inequalities (book by M.J. Carro, J.A. Raposo and J. Soria)


February 13, March 20

Jan Vybíral (Charles University, Prague):

Extrapolation theory for the real interpolation method (paper by María Carro)


March 27

Lasha Ephremidze (Mathematical Institute AS CR, Prague)

The generalization of Stein-Weiss theorem for the ergodic Hilbert transform


April 3

Vakhtang Kokilashvili (Mathematical Institute Georgian AS, Tbilisi)

Boundary value problems for analytic and harmonic functions with boundaries from Zygmund classes


April 10

David Edmunds (University of Sussex, Brighton)

Compact and non-compact maps


April 17, 24

Aleš Nekvinda (Czech Technical University, Prague):

Equivalence of norms in $\ell^{p_n}$ spaces and the maximal operator on $L^{p(x)}(\mathbb{R}^n)$


May 15

Luboš Pick (Charles University, Prague):

A remark on classical Lorentz spaces


May 22

Giuseppe Rosario Mingione (Universita di Parma):

Functional with p(x)-growth and related issues


October 30, November 6

Aleš Nekvinda (Czech Technical University, Prague):

Maximal operator on $L^{p(x)}(R^n)$


November 13, 20

Stanislav Hencl (Charles University, Prague):

A sharp form of an embedding into exponential and double exponential spaces


November 27, December 11

Luboš Pick (Charles University, Prague):

Logarithmic Sobolev Inequalities


December 4

Lars Diening (University of Freiburg):

Generalized Lebesgue and Sobolev Spaces




2003


February 5

María Carro (Universitat de Barcelona):

An analytic interpolation theorem with application to the boundedness of operators on weighted Lebesgue spaces.


February 26

Júlio Severino Neves (University of Coimbra):

Bessel-potential-type spaces and embeddings (limiting and super-limiting cases)


March 12, 19, 26

Petr Gurka (Czech University of Agriculture, Prague):

Boundedness and compactness of embeddings of logarithmic Bessel potential spaces


April 2

Petr Gurka (Czech University of Agriculture, Prague):

Problems of entropy numbers of compact embeddings of logarithmic Bessel potential spaces.


April 9

Luboš Pick (Charles University, Prague):

New function spaces and limiting Sobolev embeddings (paper by Bastero, Milman and Ruiz)


May 5

Workshop on function spaces



Ron Kerman (Brock University, St. Catharines, Canada)

Optimal imbeddings of smoothness spaces


Aigerim Kalybay (University of Alma Ata)

Some properties of function spaces with multiweighted derivatives



May 7

Cherif Amrouche (Universite de Pau):

Elliptical problems in unbounded domains, with application to Navier-Stokes and Oseen equations


May 14, 21

Luboš Dostál (Charles University, Prague):

Weighted Hardy inequalities on classical Lorentz spaces (paper by Santiago Boza and Joaquim Martin)


June 11

David Swanson (Texas A&M University):

Pointwise and topological behavior of mappings in certain Sobolev classes


June 25

David Cruz-Uribe, SFO (Trinity College, Hartford):

L^p spaces with variable exponent


September 3

Alois Kufner (Mathematical Institute AS CR, Prague):

Various criteria for the validity of the Hardy inequality


September 24

Raul Romero (Universidad Complutense de Madrid):

A characterization of the spaces satisfying a result of Lions-Peetre type for N-tuples


October 1

Hans-Jürgen Schmeisser (FSU Jena):

An atomic approach to limiting embeddings for vector-valued function spaces


October 15

W. Des Evans (University of Wales, Cardiff):

Hardy and Rellich inequalities associated with magnetic fields


October 22

António Caetano (University of Aveiro):

Local growth envelopes for spaces of generalized smoothness: a unified treatment?


October 29

David E.Edmunds (University of Sussex, Brighton):

Subspaces and distances


November 5

Joaquim Martín (University of Barcelona):

Entropy function spaces and Interpolation


November 12, 19

Jan Lang (Ohio State University, Columbus) :

Special trigonometric functions, p-Laplacian and geometry of the Sobolev imbedding


November 26, December 10, 17

Luboš Pick (Charles University, Prague):

The Gateway to Compactness


2004


January 28

Santiago Boza (Universitat Politecnica de Catalunya):

Relation between weights and equivalent expressions for norms in Lorentz spaces


March 10

Jan Vybíral (Friedrich-Schiller Universitat Jena):

Function spaces with dominating mixed smoothness - decompositions and entropy numbers


March 17

Petteri Harjulehto (University of Helsinki):

Sobolev capacity in variable exponent spaces


March 24, 31, April 7

Amiran Gogatishvili (Mathematical Institute of the Academy of Sciences of the Czech Republic, Prague):

Functional properties of the space S_p(w)


April 28

Bohumír Opic (Mathematical Institute of the Academy of Sciences of the Czech Republic, Prague):

Limiting reiteration for real interpolation with slowly-varying functions


May 5, 12

Bohumír Opic (Mathematical Institute of the Academy of Sciences of the Czech Republic, Prague):

Sharp Embeddings of Besov Spaces with Logarithmic Smoothness (An Elementary Approach)


May 19

Bohumír Opic (Mathematical Institute of the Academy of Sciences of the Czech Republic, Prague):

Sharp embeddings of Besov spaces with Logarithmic Smoothess: The Limiting Case


June 23

Miroslav Krbec (Mathematical Institute of the Academy of Sciences of the Czech Republic, Prague):

Decomposition and extrapolation in spaces of integrable functions


November 3

Vladimir Ovchinnikov (Voronezh State University):

New family of interpolation spaces and description of interpolation orbits


November 10

Henryk Hudzik (Adam Mickiewicz University Poznań)

Topological and geometric structure of some Calderon-Lozanovskii spaces


November 19

Vladimir Ovchinnikov (Voronezh State University):

Interpolation orbits and Orlicz spaces


December 15

Vladimir Ovchinnikov (Voronezh State University):

Minimal and maximum extensions of interpolation functors and the generalized method of means


2005


February 23

Lassi Päivärinta (Nevanlinna Institute, University of Helsinki):

Medical imaging, Inverse Problems and Quasiconformal Maps


March 2, 9, 23, 30

Luboš Pick (Charles University, Prague):

Optimality and Interpolation


April 6

Amiran Gogatishvili (Mathematical Institute, Czech Academy of Sciences, Prague)

Optimality and interpolation - remarks to certain results of R. Kerman and L. Pick


April 13, 20

Amiran Gogatishvili (Mathematical Institute, Czech Academy of Sciences, Prague)

An equivalence theorem for some scales of integral conditions (joint work with A. Kufner, L.-E. Persson and A. Wedestig)


April 27

Miroslav Krbec (Mathematical Institute, Czech Academy of Sciences, Prague)

On non-effective weights in Orlicz spaces


October 12

Jani Joensuu (University of Helsinki):

A Strong-type Capacitary Inequality


October 19, 26

Stanislav Hencl (Charles University, Prague):

Sharp generalized Trudinger inequalities via truncation


November 9

Aleš Nekvinda (FSI ČVUT Praha):

A Note on the Maximal Operator in $L\sp{p(x)}$


November 16

Henryk Hudzik (Adam Mickiewicz University, Poznan):

Basic topological and geometric structure of generalized Orlicz-Lorentz spaces. Part I - Global structure


Pawel Foralewski (Adam Mickiewicz University, Poznan):

Basic topological and geometric structure of generalized Orlicz-Lorentz spaces. Part II - Local stucture



November 23

Aleš Nekvinda (FSI ČVUT Praha):

A Note on the Maximal Operator in $L\sp{p(x)}$ (continuation)



December 7

Amiran Gogatishvili (MU AV CR Praha):

Reduction theorems for weighted Hardy inequalities (the case 0 less than p less than or equal to 1)



December 14, 21

Libor Pavlíček (MFF UK Praha):

On strict convergence in BV


2006



January 4, March 1

Libor Pavlíček (MFF UK Praha):

On strict convergence in BV



March 15

Alois Kufner (AV ČR Praha):

Hardy inequality: negative exponents and connection to the spectrum of a differential operator



March 22

Pavel Drábek (ZČU Plzeň):

Hardy inequality: the spectrum of the Sturm-Liouville problem



April 19

Petr Gurka (ČZU Praha):

Embeddings of Besov spaces (elementary approach)



May 3

Petr Gurka (ČZU Praha):

Pictures and News from Miami (the Cwikel Conference and the AMS Meeting)



June 14

Salvador Rodriguez (Universitat Barcelona):

Some new results on restriction of Fourier multipliers



October 18, 25

Bohumír Opic (Mathematical Institute AS CR, Prague):

Weighted estimates for the averaging integral operator



November 1

Ales Nekvinda (Czech Technical University, Prague):

Averages and optimality



November 8, 15

Stanislav Hencl (Charles University, Prague):

Homeomorphisms with finite variation



November 22, 29, December 6

Amiran Gogatishvili (Mathematical Institute, Academy of Sciences of the Czech Republic, Prague):

Embeddings of Lorentz spaces


2007



January 10, February 28, March 14, 21

Luboš Pick (Charles University, Prague):

Traces and rearrangements



April 4, 11



Amiran Gogatishvili (Mathematical Institute AS CR, Prague):

A simple proof of a theorem of Kerman and Pick



April 18

Andrea Cianchi (University of Florence):

Quantitative Sobolev and Hardy inequalities



April 25

Luboš Pick (Charles University, Prague):

Traces and rearrangements


May 2

Rza Mustafayev (MI AS Prague):

On boundedness of the Riesz potential in the local Morrey-type spaces


May 9

Agnieszka Kalamajska (Warsaw University):

Gagliardo-Nirenberg inequalities in Orlicz spaces equipped with not necessarily doubling measures


May 16

Jan Schneider (MFF UK):

Function Spaces with Varying Smoothness


May 23

Petr Honzík (Michigan State University):

Singular Integral Operators with Rough Kernels


October 10

Petr Honzík (MI AS Prague):

Singular integral operators with rough kernels


October 17

Petr Honzík (MI AS Prague):

Optimal good lambda inequalities


October 24

Des Evans (University of Wales, Cardiff):

Improved Hardy-Sobolev inequalities

and

Kasia Pietruska-Paluba (MIMUW):

Besov spaces arising in connection with stochastic processes on fractals


October 31

Alois Kufner (MI AS CR):

Hardy-negative


November 7, 21, December 5

Lubos Pick (MFF UK):

Calderon type theorem for operators with non-standard endpoint behaviour


December 12 Jan Schneider (MFF UK):

Interpolation characterization of the rearrangement-invariant hull of a Besov space


2008


March 5, 12, 26

Bohumír Opic (Mathematical Institute AS CR, Prague):

Estimates for the modulus of continuity of the Bessel potential and applications


March 19

Katsuo Matsuoka (Nihon University, Tokio):

On the interpolation theorems concerning B^p(R^n), BMO(R^n) and CMO^p(R^n)


April 2

Aleš Nekvinda (Czech Technical University, Prague):

Maximal Operator on L^{p(x)}


April 9, 16

Amiran Gogatishvili (Mathematical Institute, Czech Academy of Sciences, Prague):

Besov spaces on metric spaces


April 23, 30

Alois Kufner (MU AV CR Praha):

Weighted Inequalities with Non-Standard Parameters:


May 14

Henning Kempka (FSU Jena):

2-microlocal Besov spaces


May 21

Petr Honzík (Mathematical Institute of the Czech Academy of Sciences):

Extrapolation of compactness and its applications to Sobolev embeddings


October 1

Hans-Gerd Leopold (Friedrich-Schiller University Jena):

On sharp embeddings of function spaces of generalized smoothness in L_1^loc


October 8

Hans-Juergen Schmeiszer (Friedrich-Schiller University Jena):

Trigonometric approximation and realizations of K-functionals


October 15

Cornelia Schneider (Friedrich-Schiller University Jena):

Trace operators in Besov and Triebel-Lizorkin spaces


October 29 and November 5 and 19

Petr Honzík (Mathematical Institute, Czech Academy of Sciences, Prague):

Besov Spaces of Near Zero Smoothness


November 12

Alois Kufner (Mathematical Institute, Czech Academy of Sciences, Prague):

The Hundred Years of Sergey Lvovich Sobolev


November 19

Amiran Gogatishvili (Mathematical Institute, Czech Academy of Sciences, Prague):

Besov Spaces (survey)


November 26, December 3, 10

David Pražák (Charles University, Prague):

Norms on grand and small Lebesgue spaces



2009


January 19


Jan Lang (Ohio State University, Columbus, USA):

Essential norms and localization moduli of Sobolev embeddings


March 4


Petr Honzík (Mathematical Institute, Czech Academy of Sciences, Prague):

The Fourier transform and function spaces


March 11


Loukas Grafakos (University of Missouri, Columbia):

Rough and rougher singular integrals.


March 18, 25


Petr Honzík (Mathematical Institute, Czech Academy of Sciences, Prague):

The Fourier transform and function spaces


April 1, 8, 15


Lukáš Malý (Charles University, Prague):

The Fourier transform and function spaces


April 22


Eva Pernecká (Faculty of Mathematics and Physics, Charles University, Prague):

Littlewood-Payley theory and multipliers


April 29


Valentino Magnani (University of Pisa, Italy):

Tangent distributions and Sobolev surfaces


October 7


Petr Honzík (Mathematical Institute, Czech Academy of Sciences, Prague):

Function spaces arising in connection with the Fourier transform


October 14


Hans-Juergen Schmeisser (FSU Jena):

On trace spaces of function spaces with a radial weight (joint work with Dorothee Haroske)


October 21, November 4


Petr Honzík (Mathematical Institute, Czech Academy of Sciences, Prague):

Function spaces arising in connection with the Fourier transform


November 11


Luděk Kleprlík (Faculty of Mathematics and Physics, Charles University, Prague):

Litllewood-Paley Characterization of Lipschitz Spaces


December 2


Rza Mustafayev (Mathematical Institute, Czech Academy of Sciences, Prague):

On the boundedness of the maximal operator in generalized Morrey spaces


December 9


Rza Mustafayev (Mathematical Institute, Czech Academy of Sciences, Prague):

On the boundedness of the singular integral operators in generalized Morrey spaces


2010


April 28


Luboš Pick (Faculty of Mathematics and Physics, Charles University, Prague):

Weak-type estimates cannot be extrapolated


May 5, 19


Aleš Nekvinda (Faculty of Civil Engineering, Czech Technical University, Prague):

Monotone metric spaces


June 25


I. E. Verbitsky (University of Missouri, Columbia):

Linear and nonlinear equations with natural growth terms


September 29

Henryk Hudzik (UAM Poznan):

In Orlicz spaces p-Amemiya norm is geometrically better than the Luxemburg and the Orlicz norms


October 6,13, November 10

Hana Bendová (Charles University, Prague):

Integral with a control function


October 20

Kyril Tintarev (Uppsala University):

Is the Trudinger-Moser nonlinearity a true critical nonlinearity?


October 20

Ron Kerman (Brock University):

Explicit formulas for optimal rearrangement-invariant norms in Sobolev imbedding inequalities


December 1

Luboš Pick (Charles University, Prague):

Optimality and iteration


December 8

Agnieszka Kalamajska (University of Warsaw):

Luzin-type theorem with convex integration and quasi-convex hulls of sets


December 15

Jan Lang (Ohio State University):

Generalized trigonometric functions from different points of view


2011


January 5, 12, February 23, March 2

Luboš Pick (Charles University in Prague):

Optimality, iteration and isoperimetric problem


March 9

Stanislav Hencl (Charles University in Prague):

Sobolev homeomorphism with zero Jacobian


March 16, 23

Luboš Pick (Charles University in Prague):

Optimality, iteration and isoperimetric problem


March 30

Alois Kufner (Mathematical Institute, Czech Academy of Sciences, Prague):

Hardy inequalities of higher order


April 6

W. Des Evans (University of Wales, Cardiff):

On the zero modes of Pauli operators and inequalities of Hardy and Sobolev


April 13

Kai Rajala (University of Jyväskylä):

Invertibility conditions for mappings of finite distortion


April 20, 27

Luboš Pick (Charles University in Prague):

Optimality, iteration and isoperimetric problem


May 11

Petr Honzík (Mathematical Institute, Czech Academy of Sciences, Prague):

Maximal singular operators with rough kernels


October 19

Petr Honzík (Mathematical Institute, Czech Academy of Sciences, Prague):

Weak-type estimates for rough commutators


November 2, 9, 16, 30, December 7

Filip Soudský (Charles University, Prague):

Boundedness of classical operators on classical Lorentz spaces


December 14

Luděk Kleprlík (Charles University, Prague):

Composition operators on Sobolev-Orlicz spaces


2012


March 7, 14

Luděk Kleprlík (Charles University, Prague):

Composition operators on Sobolev-Orlicz spaces


April 4, 11, 18

Lenka Slavíková (Charles University, Prague):

Compactness of higher-order Sobolev embeddings


June 20

Jan Lang (Ohio State University, Columbus):

Gelfand numbers (or widths) and compact linear operators in Banach spaces


June 28

Alberto Fiorenza (University of Naples):

Some phenomena in variable Lebesgue spaces theory


September 26

Walter Trebels (TU Darmstadt):

Inequalities for moduli of smoothness versus embeddings of function spaces


October 10, 17

Petr Gurka (CZU UK):

The Moser constant for a Trudinger-type embedding


October 24

Ron Kerman (Brock University):

Sobolev embedding with general underlying domains


October 31

Ryskul Oinarov (University of Astana):

Weighted inequalities for Hardy integral operators with variable boundaries and applications


November 14, 21

Petr Gurka (CZU UK):

The Moser constant for a Trudinger-type embedding


November 28

Vagif Guliyev (Ahi Evran University, Kirsehir):

Boundedness of the clasical integral operators in general Morrey type spaces and some applications.


December 5

Luboš Pick (MFF UK):

Marcinkiewicz interpolation theorems for Orlicz and Loretz gamma spaces


December 12

Wen Yuan (FSU Jena):

Compact interpolationon Besov-type and Triebel-Lizorkin-type spaces


December 19

Luboš Pick (MFF UK):

Marcinkiewicz interpolation theorems for Orlicz and Loretz gamma spaces




2013




March 6, 13, 20

Amiran Gogatishvili (Mathematical Institute of the Czech Academy of Sciences):

Operators on cones of monotone functions

March 27, April 3, 10

Ondřej Kurka (Department of Mathematical Analysis, Faculty of Mathematics and Physics, Charles University, Prague):

On the variation of the Hardy-Littlewood maximal function


April 17, 24

Robert Černý (Department of Mathematical Analysis, Faculty of Mathematics and Physics, Charles University, Prague):

Sobolev and bi-Sobolev homeomorphisms with zero Jacobian almost everywhere


October 2

Amiran Gogatishvili (Mathematical Institute of the Czech Academy of Sciences):

Boundedness of spherical maximal function in variable L^p spaces and applications

October 9, 16

Nadia Clavero (University of Barcelona):

On Sobolev embeddings in mixed norm spaces

October 30, November 6, 20

Luboš Pick (Charles University in Prague):

On generalized Lorentz spaces

December 4

Martin Křepela (University of Karstadt):

Convolution inequalities in weighted Lorentz spaces

December 11, 18

Nadia Clavero (University of Barcelona):

On Sobolev embeddings in mixed norm spaces




2014




January 8

Robert Cerny (MFF UK):

Concentration-Compactness Principle for generalized Moser-Trudinger inequalities: characterization of the non-compactness in the radial case

February 19, 26, March 5

Robert Cerny (MFF UK):

Concentration-Compactness Principle for the Moser-Trudinger inequality: new proof of the Lions estimate

March 12

Robert Cerny (MFF UK):

Concentration-Compactness Principle for the Moser-Trudinger inequality: characterization of the non-compactness in the radial case

March 19

Lukas Maly (University of Linköping):

Sobolev-type functions in metric spaces and their regularization: the Newtonian approach. (Lipschitz truncations as an application of weak boundedness of maximal operators.)

March 26, April 2

Robert Cerny (MFF UK):

Concentration-Compactness Principle for the Moser-Trudinger inequality: characterization of the non-compactness in the radial case

April 16

Luboš Pick (MFF UK):

Optimal Sobolev Trace Embeddings (joint work with Andrea Cianchi)

April 23

Lukáš Malý (University of Linköping):

Regularity of Newtonian functions: quasicontinuity and continuity

May 7, 21

Luboš Pick (MFF UK):

Optimal Sobolev Trace Embeddings (joint work with Andrea Cianchi)

October 8

Ushangi Goginava (Ivane Javakhishvili Tbilisi State University, Georgia):

On the summability of quadratical and triangular partial sums of double Fourier series

October 15

Jan Malý (MFF UK):

Non-absolutely convergent integral in metric spaces

October 22, 29, November 5, 19

Kristýna Kuncová (MFF UK):

Non-absolutely convergent integral in metric spaces

November 19, December 3, 10, 17

Luboš Pick (MFF UK):

Banach algebras of weakly-differentiable functions (joint work with Andrea Cianchi and Lenka Slavíková)


2015


January 7

Lenka Slavíková (Charles University, Prague):

A Sobolev space embedded to L_infinity does not have to be a Banach algebra


February 25

Jan Vybíral (Charles University, Prague):

Marcinkewicz theorem in L^p(x) spaces


March 4, 11, 25, April 1, 8, 15

Lenka Slavíková (Charles University, Prague):

Norms supporting the Lebesgue differentiation theorem (joint work with Paola Cavaliere, Andrea Cianchi and Luboš Pick)


October 14, 21, November 4

Vít Musil (Charles University, Prague):

Optimal Orlicz domains in Sobolev embeddings


November 25

Martin Křepela (Karlstad University, Sweden):

November 25

Martin Křepela (Karlstad University, Sweden):

On Peetre's maximal operator




December 2

Martin Franců (Charles University, Prague):

On local means and Peetre's maximal operator


December 9

Rastislav Oľhava (Charles University, Prague):

On local means and Peetre's maximal operator (theorem of Bui, Paluszyński and Taibleson).


December 16

Jan Vybíral (Charles University, Prague):

On local means and Peetre's maximal operator (theorem of Bui, Paluszyński and Taibleson).


2016



February 24

Ville Tengvall (Charles University, Prague, and Univeristy of Jyväskylä):

Mappings of finite distortion: Size of the branch set

March 2

Luboš Pick (MFF UK):

Optimal rearrangement-invariant spaces for the Laplace transform

March 9

Vít Musil (MFF UK):

Some maximal inequalities.

March 16

Vít Musil (MFF UK):

Optimal Orlicz domains in Sobolev embeddings into Orlicz spaces.

March 23

Jan Malý (MFF UK):

Small sets of curves with respect to function spaces (joint work with Vendula Honzlová-Exnerová and Olli Martio)

March 30, April 6

Petr Čoupek (MFF UK):

The Wiener process and stochastic differential equations

April 13

Marcos de la Oliva (Universidad Autónoma de Madrid):

Luzin condition and laminates

April 20

Jan Malý (MFF UK):

Small sets of curves with respect to function spaces (joint work with Vendula Honzlová-Exnerová and Olli Martio)

April 27

Petr Honzík (MFF UK):

Minimal smoothness conditions for bilinear Fourier multipliers

May 11

Emanuela Radici (FAU Erlangen-Nürnberg):

Diffeomorphic approximation of planar elastic deformations

May 18

Lenka Slavíková (Charles University in Prague):

Necessity of bump conditions for the two-weighted maximal inequality

May 25

Antti Räninä (University of Jyväskylä):

Mappings of finite distortion: integrability of the Jacobian

June 15

Jiří Outrata (ÚTIA AV ČR, v.v.i.):

On the Aubin property of implicit multifunctions

June 29

Dmitry Ryabogin (Kent University, Ohio):

On a continuous Rubik's cube br>

October 12

Givi Nadibaidze (Javakhishvili Tbilisi State University):

On the a.e. convergence and summability of series with respect to block-orthonormal systems

October 19

Aapo Kauranen (MFF UK):

Images of porous sets under Sobolev mappings

October 26, November 2

Michal Johanis (MFF UK):

Marchaud's theorem in infinite dimension

November 9

Tomáš Roskovec (MFF UK):

Sobolev homeomorphism in $W^{k,p}$ and the Lusin $(N)$ condition

November 16

Aapo Kauranen (MFF UK):

Sobolev spaces and Lusin's condition (N) on hyperplanes

November 23

Ville Tengvall (University of Jyväskylä):

Mappings of finite distortion: size of the branch set (joint work with Chang-Yu Guo and Stanislav Hencl).


December 07

Martin Křepela (University of Karlstad):

Embeddings and duals of Copson-Lorentz spaces


December 21

Zdeněk Mihula (MFF UK):

Optimality of function spaces for classical integral operators

Jan Vybíral (MFF UK):

Entropy numbers of Schatten classes


2017



January 04, 11

Daniel Campbell (Charles University, Prague):

Approximation of monotone maps by diffeomorphisms

February 22

Yi Zhang (University of Jyväskylä):

Sobolev extension domains: from the viewpoint of uniform domains.

March 01

Amiran Gogatishvili (MU AV ČR):

Characterization of interpolation between grand, small, and classical Lebesgue spaces

March 08

Luděk Kleprlík (FIT ČVUT Praha):

Composition operator for functions of bounded variation

March 15

Luboš Pick (MFF UK Praha):

How not to leave traces

March 22

Petr Honzík (MFF UK Praha):

Bisublinear Spherical Maximal Function

March 29

Jan Vybíral (MFF UK Praha):

An introduction to Total Variation for Image Analysis

April 05, 12

Filip Soudský (MFF UK Praha):


BV functions

April 19

Emanuela Radici (FAU Erlangen-Nurnberg):


Particle approximation of scalar conservation laws for self attractive species

May 24

Luboš Pick (Charles University, Prague):


Sobolev embeddings on entire R^n

June 28

Filip Tomić (University of Novi Sad)


Superposition and propagation of singularities for extended Gevrey regularity

October 04

Hans Georg Feichtinger (NuHAG, Universität Wien):

Time-Frequency and Gabor Analysis: Foudations and Application Areas

October 18

Rami Luisto (Charles University, Prague):

Properties of BLD-mappings
Abstract: We discuss several equivalent definitions for BLD-mappings between metric spaces and study their asymptotic values and limiting properties in the setting of Riemannian manifolds.

October 25

Eva Buriánková (Charles University, Prague):

Rough maximal bilinear singular integrals

November 01

Vít Musil (Charles University, Prague):

Approximation of non-compact Sobolev embeddings

November 15

David Krejčiřík (Czech Technical University, Prague):

From functional inequalities to spectral properties of Schrödinger operators


November 22

Nenad Teofanov (University of Novi Sad):

Gelfand-Shilov spaces, Gevrey classes, and related topics

November 29, December 6, 13

Tomáš Roskovec and Filip Soudský (University of South Bohemia, České Budějovice):

Gagliardo-Nirenberg interpolation inequality revisited.

2018

January 03

Zdeněk Mihula (Charles University, Prague)

Compactness of traces of Sobolev functions.

January 10


Lenka Slavíková (University of Missouri, Columbia)

An optimal criterion for $L^2\times L^2 \to L^1$ boundedness.


February 28

Stanislav Hencl (Charles University, Prague)

Weak regularity of the inverse under minimal assumptions

March 07

Rami Luisto (Charles University, Prague)

Weak regularity of the inverse under minimal assumptions

March 21

Tomáš Roskovec (South Bohemian University, České Budějovice)

INTERPOLATION BETWEEN HÖLDER AND LEBESGUE SPACES WITH APPLICATIONS
(joint work with Filip Soudský and Anastasia Molchanova)


March 28

Aldo Pratelli (University of Erlangen)

Diffeomorphic approximation of planar maps: the INV and the non-crossing maps
(joint work with Guido de Philippis)

April 04

Vít Musil (MFF UK):

Optimal partners for fractional maximal operator.


April 11

Vít Musil (MFF UK):

Moser type inequalities in Gauss space.


May 2

Amiran Gogatishvili (Mathematical Institute, CAS Prague):

Construction of a function space close tob L^{\infty} with associate space close to L^1

(joint work with D. Edmunds and T. Kopaliani)

May 9

Short presentations of PhD students supported by the University Center Math MAC

Chairman: Josef Málek (MFF UK)

May 23

Rami Luisto (Charles University, Prague):

Compactness of the branch for quasiregular mappings and mappings of finite distortion

June 13

Abdulhamit Küçükaslan (Mathematical Institute, Czech Academy of Sciences, Prague):

Boundedness of Hilbert transform in local Morrey-Lorentz spaces

October 10

Ondřej Bouchala (Charles University, Prague):

Measure of non-compactness of Sobolev embeddings


October 17, 24


Dalimil Peša (Charles University, Prague):

Fall of the star


October 31, 2018

Hans G. Feichtinger (NuHAG, Universität Wien, and Charles University, Prague):

Modulation spaces and their relationship to Besov spaces


November 7, 2018

Hans G. Feichtinger (NuHAG, Universität Wien, and Charles University, Prague):

Modulation spaces as a prototype for coorbit theory


November 14, 2018

Nijjwal Karak (Charles University, Prague):

Sobolev-type embeddings and regularity of domains


November 21, 2018

Nenad Teofanov and Filip Tomic (University of Novi Sad):

Wave front sets and related topics


November 23, 2018

Winfried Sickel, Marc Hovemann (FSU Jena):

1) W.Sickel:

Lizorkin-Triebel spaces and differences

2) M.Hovemann:

Triebel-Lizorkin -Morrey  spaces and differences


November 28, 2018

Hana Turčinová (Charles University, Prague):

Functional properties of one scale of rearrangement-invariant function spaces

December 05, 2018

Olli Saari (University of Bonn):

On endpoint regularity of maximal functions

Sergey Tikhonov (Centre de Recerca Matemática. Barcelona):

Sharp embedding theorems for smooth function spaces

December 12, 2018

Maurice de Gosson (Universität Wien):

The canonical group of transformations of a Gabor frame

December 19, 2018

Anastasia Molchanova (Sobolev Institute of Mathematics, Novosibirsk):

Regularity of the inverse for Banach function spaces


2019

January 9, 2019
 

Andrea Cianchi (University of Florence):

Regularity for the $p$-Laplace equation in minimally regular domains

Abstract:
I will discuss a few aspects of the regularity of solutions to boundary value problems for nonlinear elliptic equations and systems of p-Laplacian type. In particular, second-order regularity properties of solutions, and the boundedness of their gradient will be focused. The results to be presented are optimal as far as the regularity of the right-hand sides of the equations and the boundary of the ground domains are concerned. This is a joint work with V.Maz'ya.


Lenka Slavíková (University of Missouri):

The Hörmander multiplier theorem: some recent developments

February 20, 2019

Daniel Campbell (University of Hradec Králové):

A sense preserving Sobolev homeomorphism with negative Jacobian almost everywhere.

Abstract: We construct a $W^{1,p}$ Sobolev homeomorphism $1\leq p < 2$ equal to the identity on the boundary of the unit cube in $\R^4$ but whose weak Jaccobian is negative almost everywhere. This result expands on our previous result with Tengval and serves as a counter-example of approximation by diffeomorphisms to some elastic energies which require positive Jaccobian almost everywhere, a case not covered by the previous result.

March 6, 2019

Martin Křepela (University of Freiburg):

Bogovski estimates and solenoidal diference quotients.

Abstract: By showing additional properties of the Bogovski solution to the divergence equation, we may construct specific test functions with solenoidal (divergence-free) difference quotients. As an application, one gets a new way to prove interior regularity of the solution to the p-Stokes system. Calderón, Zygmund, Muckenhoupt, Orlicz, Bogovski, Stokes, Růžička - all in one!

March 13, 2019

Jan Krejčí (Charles University, Prague):


The atom of hydrogen.

Abstract: This is a survey lecture which does not contain new results and is aimed mainly for students. The classical solution to the Schrödinger equation for the atom of hydrogen will be treated and number and shape of its orbitals will be established.


March 20, 2019

Antonín Češík (Charles University, Prague):

Transforming the Laplace operator to spherical coordinates.

Abstract: We will compute the transformation of the Laplace operator to polar (in R^2) and spherical (in R^3) coordinates. In the case of R^3, two distinct approaches will be pursued. First, considering spherical coordinates as the composition of two cylindrical coordinate changes and using the formula known from R^2 case. Second, computing the transformation for general orthogonal coordinates in R^3 and obtaining the spherical coordinates as a special case of this. This is an elementary lecture which does not contain new results and is aimed mainly for students.


March 27, 2019

Petr Honzík (Charles University, Prague):

Endpoint estimate for rough maximal singular integral operators with rough kernels
.

Abstract: We show that rough maximal singular integral with kernel $\Omega(x/|x|)/|x|^n,$ $\Omega \in L^\infty,$ $\int_ {S^{n-1}} \Omega=0$ maps $L(\log \log L )^{2+\epsilon}$ to $L^{1,\inty}$ locally. This is the best known result so far, while the endpoint weak type estimate is a well known open question.


April 3, 2019

Ondřej Bouchala (Charles University, Prague):

Transforming the Laplace operator to spherical coordinates.

Abstract: We will compute the transformation of the Laplace operator to spherical (in R^3) coordinates in another way. We will compute the transformation for general orthogonal coordinates in R^3 and obtaining the spherical coordinates as a special case of this. This is an elementary lecture which does not contain new results and is aimed mainly for students.


April 10, 17, 2019

Jan Malý (Charles University, Prague):

Inverting BV homeomorphisms.

April 24, 2019

Nijjwal Karak (Charles University, Prague):

Necessary conditions for Sobolev-type embeddings.

Abstract:

In this talk, necessary conditions on domains in R^n or on the measure in metric measure spaces for Sobolev-type embeddings of Orlicz-Sobolev spaces and variable exponent Sobolev spaces will be discussed in details.

May 22, 2019

Luboš Pick (Charles University, Prague):

Moser meets Gauss.

Abstract:

We study Moser-type estimates for Gaussian-Sobolev embeddings. This is a joint work with Andrea Cianchi and Vít Musil (both of University of Florence) .

June 5, 2019

Karol Leśnik (Poznań University of Technology):

Monotone substochastic operators and a new Calderón couple.

June 26, 2019

Erich Novak (FSU Jena):

What is information-based complexity?

Abstract
We give a short introduction to IBC and present some basic definitions and a few results. The general question is:
How many function values (or values of other functionals) of f do we need to compute S(f) up to an error ϵ? Here S(f) could
be the integral or the maximum of f. In particular we study the questions: Which problems are tractable?
When do we have the curse of dimension and how can we avoid the curse?
October 9, 16, 2019

Stanislav Hencl and Ondřej Bouchala (
Charles University, Prague):

Injectivity a.e. of limits of Sobolev homeomorphisms

October 23, 2019

Tomáš Roskovec (University of South Bohemia, České Budějovice):

Example of a Smooth Homeomorphism Violating the Luzin N−1 Property (joint work with Luděk Kleprlík and Anastasia Molchanova)


October 30, 2019

Amiran Gogatishvili (Mathematical Institute, Czech Academy of Sciences, Prague):

Remarks on Hardy-type inequalities involving  suprema

November 13, 2019

Giovanni Gravina (
Charles University, Prague):

An introduction to Gamma-convergence with an application to phase transitions

December 4, 2019

Luboš Pick (Charles University, Prague):

Existence of minimizers for Moser estimates in Gaussian-Sobolev embeddings


December 11, 2019

Dalimil Peša (Charles University, Prague):

Wiener-Luxemburg Amalgam Spaces

December 18, 2019

Jan Malý (Charles University, Prague):

Hajlasz spaces and cuspidal domains

2020

January 08, 2020

Hana Turčinová (Charles University, Prague):

Pursue of optimality in characterization of Sobolev functions with zero traces via the distance function
Jan Vybíral (Technical University, Prague):
Schur's theorem and numerical integration


February 19, 2020


Lyubomira Softova
(University of Salerno):


Gradient estimates for nonlinear elliptic equations in Morrey type spaces


March 4, 2020

Haiqing Xu
(University of Jyväskylä):


Optimal extensions of conformal mappings from the unit disk to cardioid-type domains


October 8

Georgios Dosidis (University of Missouri, Columbia)

Linear and multilinear spherical maximal functions

Abstract: The classical spherical maximal function is an analogue of the Hardy-Littlewood maximal function that involves averages over spheres instead of balls. We will review the classical bounds for the spherical maximal function obtained by Stein and explore their implications for partial differential equations and geometric measure theory. The main focus of this talk is to discuss recent results on the multilinear spherical maximal function and on a family of operators between the Hardy-Littlewood and the spherical maximal function. We will cover boundedness and convergence results for these operators for the optimal range of exponents. We will also include a discussion on Nikodym-type sets for spheres and spherical maximal translations.
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