Lecture Notes

Invited Lectures

Short Talks

Invited Lectures

• Oleg V. Besov,   Steklov Institute Moscow / Russia
  

  The spaces of differentiable functions on irregular domains

• Viktor I. Burenkov,   Peoples Friendship University of Russia, Moscow / Russia
  

  Recent progress in studying the boundedness of classical operators of real analysis in general Morrey-type spaces

• Michail Gol'dman,   Peoples Friendship University of Russia, Moscow / Russia
  

  On integral properties of generalized Bessel and Riesz potentials

• Dorothee D. Haroske,   Friedrich-Schiller-University Jena / Germany
  

  Envelopes in function spaces

• Luboš Pick,   Charles University Prague / Czech Republic
  

  Traces and Rearrangements

• Hans Triebel,   Friedrich-Schiller-University Jena / Germany
  

  Wavelets in function spaces

• Dachun Yang,   Beijing Normal University / China
  

  New Besov-type Spaces and Triebel-Lizorkin-type Spaces

Short Talks

• Alexandre Almeida,   University of Aveiro / Portugal
  

  Potential and maximal operators in Morrey spaces with variable exponent



• Dauren B. Bazarkhanov ,   Academy of Sciences, Almaty / Kazakhstan
  

  Approximate Recovery of Some Product-type Pseudodifferential Operators on Certain Function Spaces with Generalized Mixed Smoothness



• António Caetano,   Universidade de Aveiro / Portugal
  

  Envelopes and sharp embeddings of Besov spaces involving only slowly varying smoothness



• Andrea Cianchi,   Universitŕ di Firenze / Italy
  

  Moser-Trudinger inequalities for a class of measures



• Stephan Dahlke ,   Philipps-University Marburg / Germany
  

  Besov regularity for elliptic boundary value problems in smooth and polyhedral cones



• Gurgen Dallakyan ,   Russian-Armenian State University / Armenia
  

  On transformation of coordinates invariant relative to Sobolev space with polyhedral anisotropy



• Lasha Ephremidze,   A. Razmadze Math. Institute, Georgian Acad. Sciences / Georgia
  

  On parametrization of the wavelet matrices



• Evgeny Galakhov,   Steklov Institute Moscow / Russia
  

  Some applications of the non-linear capacity method



• Amiran Gogatishvili,   Mathematical Institute AS CR / Czech Republic
  

  Optimal Sobolev’s embedings and interpolation



• Petr Gurka,   Czech University of Agriculture in Prague / Czech Republic
  

  Entropy numbers of limiting embeddings



• Markus Hansen,   Friedrich-Schiller-University Jena / Germany
  

  The Embeddings of Jawerth and Franke for Spaces of Dominating Mixed Smoothness



• Iya Ivanishko & Veniamin G. Krotov,   Belorussian State University / Belarus
  

  $L^p$-smoothness in terms of Calderon-Kolyada maximal functions: embeddings, weighted inequalities, compactness



• Maryia Kabanava,   Friedrich-Schiller-University Jena / Germany
  

  Tempered Radon measures



• Gennadiy A. Kalyabin,   Peoples Friendship University of Russia, Moscow / Russia
  

  Some Problems for Sobolev Spaces in a Half-Line



• Henning Kempka,   Friedrich-Schiller-University Jena / Germany
  

  2-microlocal Besov spaces



• Vakhtang Kokilashvili,   A. Razmadze Math. Institute, Georgian Acad. Sciences / Georgia
  

  Two-weighted norm inequalities for integral operators in function spaces with variable exponent and applications to Fourier Analysis



• Miroslav Krbec,   Institute of Mathematics, Acad. Sciences Prague / Czech Republic
  

  On dimension-free inequalities of Sobolev type



• Thomas Kühn,   University Leipzig / Germany
  

  Some new results on entropy numbers, with applications to function space embeddings



• Sofia Lopes,   University of Aveiro / Portugal
  

  Spectral theory for the fractal Laplacian in the context of $h$-sets



• Liviu-Gabriel Marcoci ,   Inst. of Math., Romanian Academy / Romania
  

  Remarks about some spaces of infinite matrices



• Susana D. Moura,   Universidade de Coimbra / Portugal
  

  Continuity envelopes of spaces of generalized smoothness in the critical case



• Rza Mustafayev,   Acad. of Sciences of Azerbaijan / Azerbaijan
  

  Dual spaces of local Morrey-type spaces,   (Related Paper)



• Eiichi Nakai,   Osaka Kyoiku University / Japan
  

  A generalization of Hardy spaces by using atoms



• Bohumír Opic,   Mathematical Institute, Academy of Sciences / Czech Republic
  

  The $\rho$-quasiconcave functions and weighted inequalities



• Vakhtang Paatashvili,   A. Razmadze Math. Institute, Georgian Acad. Sciences / Georgia
  

  The Dirichlet and Neumann problems for harmonic functions in the Smirnov class with variable exponent



• Eva Pernecká,   Charles University Prague / Czech Republic
  

  Sobolev embeddings on generalized ridged domains in metric measure spaces



• Iwona Piotrowska,   University Bremen / Germany
  

  Entropy numbers of embeddings between weighted modulation spaces



• Nicolae Popa,   Inst. of Math., Romanian Academy / Romania
  

  Matrix version of Hankel operator; Nehari and Hartman type theorems



• David Prazák,   Charles University Prague / Czech Republic
  

  Equivalent norms on grand and small Lebesgue spaces



• Michael Prohorovich,   Belorussian State University / Belarus
  

  Fine properties of functions from Haj{\l}asz--Sobolev fractional classes



• Nadezda Rautian,   Plekhanov Russian Academy of Economics, Moscow / Russia
  

  On the weighted $L^p$-$L^q$ boundedness of the Riemann-Liouville fractional operator



• Vladimir Savchin,   Peoples Friendship University of Russia, Moscow / Russia
  

  On some aspects of inverse problems of the calculus of variations



• Cornelia Schneider,   University Leipzig / Germany
  

  Besov spaces with positive smoothness on $\mathbb{R}^n$, embeddings and growth envelopes



• Jan Schneider,   MPI Leipzig / Germany
  

  Rearrangement-invariant hull of a generalized Besov space



• Winfried Sickel,   Friedrich-Schiller-University Jena / Germany
  

  Tensor Products of Sobolev-Besov Spaces and Approximation from the Hyperbolic Cross Tensor



• Leszek Skrzypczak,   Adam Mickiewicz University Poznań / Poland
  

  Entropy and approximation numbers of embeddings of function spaces with Muckenhoupt weights



• Vladimir D. Stepanov,   Peoples Friendship University of Russia, Moscow / Russia
  

  Two-sided estimates of the approximation and entropy numbers of the integral operators



• Shakro Tetunashvili,   A. Razmadze Math. Institute, Georgian Acad. Sciences / Georgia
  

  On the summability of Fourier trigonometric series of variable order



• Bernadeta Tomasz,   Adam Mickiewicz University Poznań / Poland
  

  Properties of Sobolev and some limiting embeddings of radial functions



• Boris Trushin,   Moscow Institute of Physics and Technology / Russia
  

  Weighted Sobolev Embedding Theorems for a Class of Anisotropic Irregular Domains



• Tsira Tsanava,   Georgian Technical University / Georgia
  

  Weighted inequalities for Bellmann transforms and Marcinkiewicz integrals



• Tino Ullrich,   Universidad Complutense de Madrid / Spain
  

  Extreme Classes of Real Interpolation Spaces



• Jan Vybíral,   Friedrich-Schiller-University Jena / Germany
  

  On approximation widths in function spaces



• Agnieszka Wojciechowska,   Adam Mickiewicz University Poznań / Poland
  

  On wavelet characterization of Besov spaces with local Muckenhoupt weights