Advances in Harmonic Analysis and Operator Theory, 1st Edition

  • Published By:
  • ISBN-10: 3034805160
  • ISBN-13: 9783034805162
  • DDC: 515.2433
  • Grade Level Range: College Freshman - College Senior
  • 392 Pages | eBook
  • Original Copyright 2013 | Published/Released June 2014
  • This publication's content originally published in print form: 2013

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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.

Table of Contents

Front Cover.
Editorial Board.
Title Page.
Copyright Page.
1: Stefan G. Samko – Mathematician, Teacher and Man.
2: The Role of S.G. Samko in the Establishing and Development of the Theory of Fractional Differential Equations and Related Integral Operators.
3: Energy Flow Above the Threshold of Tunnel Effect.
4: Some New Hardy-type Integral Inequalities on Cones of Monotone Functions.
5: On a Boundary Value Problem for a Class of Generalized Analytic Functions.
6: The Factorization Problem: Some Known Results and Open Questions.
7: A Class of Sub-elliptic Equations on the Heisenberg Group and Related Interpolation Inequalities.
8: New Types of Solutions of Non-linear Fractional Differential Equations.
9: Stability, Structural Stability and Numerical Methods for Fractional Boundary Value Problems.
10: On the Boundedness of the Fractional Maximal Operator, Riesz Potential and Their Commutators in Generalized Morrey Spaces.
11: Existence of Solutions of a Class of Nonlinear Singular Equations in Lorentz Spaces.
12: Growth of Schrödingerian Subharmonic Functions Admitting Certain Lower Bounds.
13: The Riemann and Dirichlet Problems with Data from the Grand Lebesgue Spaces.
14: Overview of Fractional h-difference Operators.
15: A Singularly Perturbed Dirichlet Problem for the Poisson Equation in a Periodically Perforated Domain. A Functional Analytic Approach.
16: Fractional Variational Calculus of Variable Order.
17: Improving Bounds for Singular Operators via Sharp Reverse Hölder Inequality for A∞.
18: Potential Type Operators on Weighted Variable Exponent Lebesgue Spaces.
19: A Note on Boundedness of Operators in Grand Grand Morrey Spaces.
20: Operational Calculus for Bessel's Fractional Equation.
21: The Dirichlet Problem for Elliptic Equations with VMO Coefficients in Generalized Morrey Spaces.
22: Riesz-Thorin-Stein-Weiss Interpolation Theorem in a Lebesgue-Morrey Setting.