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Advances in Harmonic Analysis and Operator Theory

The Stefan Samko Anniversary Volume

  • Conference proceedings
  • © 2013

Overview

Editors:
  1. Alexandre Almeida

    1. , Departamento de Matemática, Universidade de Aveiro, Aveiro, Portugal

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  2. Luís Castro

    1. , Departamento de Matemática, Universidade de Aveiro, Aveiro, Portugal

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  3. Frank-Olme Speck

    1. Instituto Superior Tecnico, Depto. Matematica, Universidade Tecnica Lisboa, Lisboa, Portugal

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  • Broad range of topics in harmonic analysis and operator theory
  • Dedicated to Stefan Samko
  • Includes supplementary material: sn.pub/extras

Part of the book series: Operator Theory: Advances and Applications (OT)

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Table of contents (22 papers)

  1. Front Matter

    Pages i-viii
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  2. Stefan G. Samko – Mathematician, Teacher and Man

    • V. Kokilashvili
    Pages 1-48

  3. The Role of S.G. Samko in the Establishing and Development of the Theory of Fractional Differential Equations and Related Integral Operators

    • Sergei V. Rogosin
    Pages 49-63

  4. Energy Flow Above the Threshold of Tunnel Effect

    • F. Ali Mehmeti, R. Haller-Dintelmann, V. Régnier
    Pages 65-76

  5. Some New Hardy-type Integral Inequalities on Cones of Monotone Functions

    • L. S. Arendarenko, R. Oinarov, L.-E. Persson
    Pages 77-89

  6. On a Boundary Value Problem for a Class of Generalized Analytic Functions

    • P. Berglez, T. T. Luong
    Pages 91-99

  7. The Factorization Problem: Some Known Results and Open Questions

    • Albrecht Böttcher, Ilya M. Spitkovsky
    Pages 101-122

  8. A Class of Sub-elliptic Equations on the Heisenberg Group and Related Interpolation Inequalities

    • Jianqing Chen, Eugénio M. Rocha
    Pages 123-137

  9. New Types of Solutions of Non-linear Fractional Differential Equations

    • Mark Edelman, Laura Anna Taieb
    Pages 139-155

  10. Stability, Structural Stability and Numerical Methods for Fractional Boundary Value Problems

    • Neville J. Ford, M. Luísa Morgado
    Pages 157-173

  11. On the Boundedness of the Fractional Maximal Operator, Riesz Potential and Their Commutators in Generalized Morrey Spaces

    • Vagif S. Guliyev, Parviz S. Shukurov
    Pages 175-199

  12. Existence of Solutions of a Class of Nonlinear Singular Equations in Lorentz Spaces

    • L. Huang, K. Murillo, E. M. Rocha
    Pages 201-214

  13. Growth of Schrödingerian Subharmonic Functions Admitting Certain Lower Bounds

    • Alexander I. Kheyfits
    Pages 215-231

  14. The Riemann and Dirichlet Problems with Data from the Grand Lebesgue Spaces

    • V. Kokilashvili, V. Paatashvili
    Pages 233-251

  15. Overview of Fractional h-difference Operators

    • Dorota Mozyrska, Ewa Girejko
    Pages 253-268

  16. A Singularly Perturbed Dirichlet Problem for the Poisson Equation in a Periodically Perforated Domain. A Functional Analytic Approach

    • Paolo Musolino
    Pages 269-289

  17. Fractional Variational Calculus of Variable Order

    • T. Odzijewicz, A. B. Malinowska, D. F. M. Torres
    Pages 291-301

  18. Improving Bounds for Singular Operators via Sharp Reverse Höolder Inequality for \( A_\infty \)

    • Carmen Ortiz-Caraballo, Carlos Pérez, Ezequiel Rela
    Pages 303-321

  19. Potential Type Operators on Weighted Variable Exponent Lebesgue Spaces

    • Vladimir Rabinovich
    Pages 323-347

  20. A Note on Boundedness of Operators in Grand Grand Morrey Spaces

    • Humberto Rafeiro
    Pages 349-356
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Keywords

About this book

This volume is dedicated to Professor Stefan Samko on the occasion of his seventieth birthday. The contributions display the range of his scientific interests in harmonic analysis and operator theory. Particular attention is paid to fractional integrals and derivatives, singular, hypersingular and potential operators in variable exponent spaces, pseudodifferential operators in various modern function and distribution spaces, as well as related applications, to mention but a few. Most contributions were firstly presented in two conferences at Lisbon and Aveiro, Portugal, in June‒July 2011.

Editors and Affiliations

  • , Departamento de Matemática, Universidade de Aveiro, Aveiro, Portugal

    Alexandre Almeida, Luís Castro

  • Instituto Superior Tecnico, Depto. Matematica, Universidade Tecnica Lisboa, Lisboa, Portugal

    Frank-Olme Speck

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