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Title Advances in harmonic analysis and operator theory : the Stefan Samko anniversary volume / edited by Alexandre Almeida, Luís Castro, Frank-Olme Speck
Published Basel : Birkhäuser ; London : Springer [distributor], 2013
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Description 1 online resource
Series Operator theory, advances and applications ; 229
Operator theory, advances and applications ; 229
Contents Stefan G. Samko - Mathematician, Teacher and Man / V. Kokilashvili -- 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 -- Energy Flow Above the Threshold of Tunnel Effect / F. Ali Mehmeti, R. Haller-Dintelmann -- Some New Hardy-type Integral Inequalities on Cones of Monotone Functions / L. S. Arendarenko, R. Oinarov, L.-E. Persson -- On a Boundary Value Problem for a Class of Generalized Analytic Functions / P. Berglez, T. T. Luong -- The Factorization Problem: Some Known Results and Open Questions / Albrecht Böttcher, Ilya M. Spitkovsky -- A Class of Sub-elliptic Equations on the Heisenberg Group and Related Interpolation Inequalities / Jianqing Chen, Eugénio M. Rocha -- New Types of Solutions of Non-linear Fractional Differential Equations / Mark Edelman, Laura Anna Taieb -- Stability, Structural Stability and Numerical Methods for Fractional Boundary Value Problems / Neville J. Ford, M. Luísa Morgado -- On the Boundedness of the Fractional Maximal Operator, Riesz Potential and Their Commutators in Generalized Morrey Spaces / Vagif S. Guliyev, Parviz S. Shukurov --
Existence of Solutions of a Class of Nonlinear Singular Equations in Lorentz Spaces / L. Huang, K. Murillo, E. M. Rocha -- Growth of Schrödingerian Subharmonic Functions Admitting Certain Lower Bounds / Alexander I. Kheyfits -- The Riemann and Dirichlet Problems with Data from the Grand Lebesgue Spaces / V. Kokilashvili, V. Paatashvili -- Overview of Fractional h-difference Operators / Dorota Mozyrska, Ewa Girejko -- A Singularly Perturbed Dirichlet Problem for the Poisson Equation in a Periodically Perforated Domain. A Functional Analytic Approach / Paolo Musolino -- Fractional Variational Calculus of Variable Order / T. Odzijewicz, A. B. Malinowska -- Improving Bounds for Singular Operators via Sharp Reverse Höolder Inequality for A∞ / Carmen Ortiz-Caraballo, Carlos Pérez -- Potential Type Operators on Weighted Variable Exponent Lebesgue Spaces / Vladimir Rabinovich -- A Note on Boundedness of Operators in Grand Grand Morrey Spaces / Humberto Rafeiro -- Operational Calculus for Bessel's Fractional Equation / M. M. Rodrigues, N. Vieira, S. Yakubovich -- The Dirichlet Problem for Elliptic Equations with VMO Coefficients in Generalized Morrey Spaces / Lubomira G. Softova -- Riesz-Thorin-Stein-Weiss Interpolation Theorem in a Lebesgue-Morrey Setting / Salaudin M. Umarkhadzhiev
Summary 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
Bibliography Includes bibliographical references
Notes Description based on print version record
Subject Harmonic analysis.
Operator theory.
Form Electronic book
Author Almeida, Alexandre.
Castro, Luís, 1968-
Speck, F.-O. (Frank-Olme)
Samko, S. G. (Stefan Grigorʹevich)
LC no. 2013931099
ISBN 1299694098 (ebk)
3034805160 (electronic bk.)
9781299694095 (ebk)
9783034805162 (electronic bk.)