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Operator Theory and Harmonic Analysis

OTHA 2020, Part I – New General Trends and Advances of the Theory

  • Conference proceedings
  • © 2021

Overview

Editors:
  1. Alexey N. Karapetyants

    1. Institute of Mathematics, Mechanic and Computer Sciences and Regional Mathematical Center, Southern Federal University, Rostov-on-Don, Russia

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  2. Vladislav V. Kravchenko

    1. Department of Mathematics, Cinvestav, Santiago de Queretaro, Mexico

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  3. Elijah Liflyand

    1. Department of Mathematics, Bar-Ilan University, Ramat-Gan, Israel

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  4. Helmuth R. Malonek

    1. Department of Mathematics, University of Aveiro, Aveiro, Portugal

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  • Introduces new results in methods, problems and applications of operator theory and harmonic analysis by leading researchers
  • Presents the fundamentals of theory followed by recent developments in PDE’s, mathematical modelling, bioinformatics, and a discussion of real-world problems
  • Focuses on the very new trends in operator theory and function spaces theory, such as variable exponent spaces and objects of variable nature

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 357)

Included in the following conference series:

Conference proceedings info: OTHA 2020.

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Table of contents (35 papers)

  1. Front Matter

    Pages i-xv
    Download chapter PDF

  2. Weighted Hadamard–Bergman Convolution Operators

    • Smbat A. Aghekyan, Alexey N. Karapetyants
    Pages 1-20

  3. On Initial Extensions of Mappings

    • A. B. Antonevich, C. Dolicanin
    Pages 21-37

  4. On Multidimensional Integral Operators with Homogeneous Kernels in Classes with Asymptotics

    • O. G. Avsyankin
    Pages 39-53

  5. A Dirichlet Problem for Non-elliptic Equations and Chebyshev Polynomials

    • A. H. Babayan
    Pages 55-72

  6. Martingale Hardy-Amalgam Spaces: Atomic Decompositions and Duality

    • Justice Sam Bansah, Benoît F. Sehba
    Pages 73-100

  7. Robust Estimation of European and Asian Options

    • G. I. Beliavsky, N. V. Danilova, A. D. Logunov
    Pages 101-117

  8. On Reflexivity and Other Geometric Properties of Morrey Spaces

    • Evgenii I. Berezhnoi
    Pages 119-136

  9. Justification of the Averaging Method for a System with Multipoint Boundary Value Conditions

    • D. Bigirindavyi, V. B. Levenshtam
    Pages 137-142

  10. Spanne-Guliyev Type Characterization for Fractional Integral Operator and Its Commutators in Generalized Orlicz–Morrey Spaces on Spaces of Homogeneous Type

    • Fatih Deringoz
    Pages 143-159

  11. Spanne Type Characterization of Parabolic Fractional Maximal Function and Its Commutators in Parabolic Generalized Orlicz–Morrey Spaces

    • V. S. Guliyev, A. Eroglu, G. A. Abasova
    Pages 161-177

  12. Eigenvalues of Tridiagonal Hermitian Toeplitz Matrices with Perturbations in the Off-diagonal Corners

    • Sergei M. Grudsky, Egor A. Maximenko, Alejandro Soto-González
    Pages 179-202

  13. Some Properties of the Kernel of a Transmutation Operator

    • T. N. Harutyunyan, A. M. Tonoyan
    Pages 203-219

  14. On a Riemann Boundary Value Problem with Infinite Index in the Half-plane

    • Hrachik M. Hayrapetyan, Smbat A. Aghekyan, Artavazd D. Ohanyan
    Pages 221-241

  15. Repeated Distances and Dot Products in Finite Fields

    • Alex Iosevich, Charles Wolf
    Pages 243-257

  16. Banach Spaces of Functions Delta-Subharmonic in the Unit Disc

    • Armen Jerbashian, Jesus Pejendino
    Pages 259-277

  17. Banach Spaces of Functions Delta-Subharmonic in the Half-Plane

    • Armen Jerbashian, Daniel Vargas
    Pages 279-296

  18. Weighted Estimates Containing Quasilinear Operators

    • A. Kalybay, R. Oinarov
    Pages 297-318

  19. A Neumann Series of Bessel Functions Representation for Solutions of the Radial Dirac System

    • Vladislav V. Kravchenko, Elina L. Shishkina, Sergii M. Torba
    Pages 319-331

  20. Some Algebraic Aspects of Boolean Valued Analysis

    • Anatoly G. Kusraev
    Pages 333-344
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Other volumes

  1. Operator Theory and Harmonic Analysis

  2. Operator Theory and Harmonic Analysis

Keywords

About this book

This volume is part of the collaboration agreement between Springer and the ISAAC society.

This is the first in the two-volume series originating from the 2020 activities within the international scientific conference "Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis" (OTHA), Southern Federal University in Rostov-on-Don, Russia. This volume is focused on general harmonic analysis and its numerous applications. The two volumes cover new trends and advances in several very important fields of mathematics, developed intensively over the last decade. The relevance of this topicis related to the study of complex multiparameter objects required when considering operators and objects with variable parameters.

Editors and Affiliations

  • Institute of Mathematics, Mechanic and Computer Sciences and Regional Mathematical Center, Southern Federal University, Rostov-on-Don, Russia

    Alexey N. Karapetyants

  • Department of Mathematics, Cinvestav, Santiago de Queretaro, Mexico

    Vladislav V. Kravchenko

  • Department of Mathematics, Bar-Ilan University, Ramat-Gan, Israel

    Elijah Liflyand

  • Department of Mathematics, University of Aveiro, Aveiro, Portugal

    Helmuth R. Malonek

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