Ebook: Advances in Harmonic Analysis and Operator Theory: The Stefan Samko Anniversary Volume

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.

---

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 of the contributions were originally presented at two conferences in Lisbon and Aveiro, Portugal, in June?July 2011.

---

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 of the contributions were originally presented at two conferences in Lisbon and Aveiro, Portugal, in June?July 2011.
Content:
Front Matter....Pages i-viii
Stefan G. Samko – Mathematician, Teacher and Man....Pages 1-48
The Role of S.G. Samko in the Establishing and Development of the Theory of Fractional Differential Equations and Related Integral Operators....Pages 49-63
Energy Flow Above the Threshold of Tunnel Effect....Pages 65-76
Some New Hardy-type Integral Inequalities on Cones of Monotone Functions....Pages 77-89
On a Boundary Value Problem for a Class of Generalized Analytic Functions....Pages 91-99
The Factorization Problem: Some Known Results and Open Questions....Pages 101-122
A Class of Sub-elliptic Equations on the Heisenberg Group and Related Interpolation Inequalities....Pages 123-137
New Types of Solutions of Non-linear Fractional Differential Equations....Pages 139-155
Stability, Structural Stability and Numerical Methods for Fractional Boundary Value Problems....Pages 157-173
On the Boundedness of the Fractional Maximal Operator, Riesz Potential and Their Commutators in Generalized Morrey Spaces....Pages 175-199
Existence of Solutions of a Class of Nonlinear Singular Equations in Lorentz Spaces....Pages 201-214
Growth of Schr?dingerian Subharmonic Functions Admitting Certain Lower Bounds....Pages 215-231
The Riemann and Dirichlet Problems with Data from the Grand Lebesgue Spaces....Pages 233-251
Overview of Fractional h-difference Operators....Pages 253-268
A Singularly Perturbed Dirichlet Problem for the Poisson Equation in a Periodically Perforated Domain. A Functional Analytic Approach....Pages 269-289
Fractional Variational Calculus of Variable Order....Pages 291-301
Potential Type Operators on Weighted Variable Exponent Lebesgue Spaces....Pages 303-321
A Note on Boundedness of Operators in Grand Grand Morrey Spaces....Pages 323-347
Operational Calculus for Bessel’s Fractional Equation....Pages 349-356
The Dirichlet Problem for Elliptic Equations with VMO Coefficients in Generalized Morrey Spaces....Pages 357-370
Riesz-Thorin-Stein-Weiss Interpolation Theorem in a Lebesgue-Morrey Setting....Pages 371-386
....Pages 387-392