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Modern Methods in Operator Theory and Harmonic Analysis

OTHA 2018, Rostov-on-Don, Russia, April 22-27, Selected, Revised and Extended Contributions

  • Conference proceedings
  • © 2019

Overview

Editors:
  1. Alexey Karapetyants

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

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    You can also search for this editor in PubMed   Google Scholar

  2. Vladislav Kravchenko

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

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    You can also search for this editor in PubMed   Google Scholar

  3. Elijah Liflyand

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

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    You can also search for this editor in PubMed   Google Scholar

  • Highlights new results in methods, problems and applications of operator theory and harmonic analysis, presented by leading researchers
  • Touches on recent developments in spectral theory with applications to PDEs and real-world problems
  • Focuses on 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 291)

Included in the following conference series:

Conference proceedings info: OTHA 2018.

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Table of contents (25 papers)

  1. Front Matter

    Pages i-xv
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  2. Function Theory and Approximation Theory

    1. Front Matter

      Pages 1-1
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    2. Some General Properties of Operators in Morrey-Type Spaces

      • Mikhail L. Goldman, Elza Bakhtigareeva
      Pages 3-34

    3. Characterization of Parabolic Fractional Maximal Function and Its Commutators in Orlicz Spaces

      • Vagif S. Guliyev, Ahmet Eroglu, Gulnara A. Abasova
      Pages 35-49

    4. Finite Trees Inside Thin Subsets of \({\mathbb R}^{d}\)

      • A. Iosevich, K. Taylor
      Pages 51-56

    5. Boundedness of Projection Operator in Generalized Holomorphic and Harmonic Spaces of Functions of Hölder Type

      • Alexey Karapetyants, Joel E. Restrepo
      Pages 57-66

    6. Generalized Fourier Series by the Double Trigonometric System

      • K. S. Kazarian
      Pages 67-79

    7. Hardy Type Inequalities in the Category of Hausdorff Operators

      • Elijah Liflyand
      Pages 81-91

    8. Harmonic Analysis and Hypercomplex Function Theory in Co-dimension One

      • Helmuth R. Malonek, Isabel Cação, M. Irene Falcão, Graça Tomaz
      Pages 93-115

    9. Paraproduct in Besov–Morrey Spaces

      • Yoshihiro Sawano
      Pages 117-133

  3. Functional Analysis and Operator Theory

    1. Front Matter

      Pages 135-135
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    2. Analogs of the Khintchin—Kolmogorov Inequalities in Discrete Morrey Spaces

      • Evgenii I. Berezhnoĭ
      Pages 137-151

    3. Mellin Convolution Equations

      • Roland Duduchava
      Pages 153-174

    4. Integral Operators of the \(\mathcal {L}\)-Convolution Type in the Case of a Reflectionless Potential

      • Davresh Hasanyan, Armen Kamalyan, Martin Karakhanyan, Ilya M. Spitkovsky
      Pages 175-197

    5. Spectral Theory for Nonlinear Operators: Quadratic Case

      • Yakov Krasnov
      Pages 199-216

    6. Factorization of Order Bounded Disjointness Preserving Multilinear Operators

      • Anatoly G. Kusraev, Zalina A. Kusraeva
      Pages 217-236

    7. Robbins–Monro Conditions for Persistent Exploration Learning Strategies

      • Dmitry B. Rokhlin
      Pages 237-247

    8. On Widths of Invariant Sets

      • Ekaterina Shulman
      Pages 249-261

    9. The Distance Function and Boundedness of Diameters of the Nearest Elements

      • Igor’ G. Tsar’kov
      Pages 263-272

  4. Differential Equations and Mathematical Physics

    1. Front Matter

      Pages 273-273
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Other volumes

  1. Modern Methods in Operator Theory and Harmonic Analysis

Keywords

About this book

This proceedings volume gathers selected, peer-reviewed papers from the "Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis VIII" (OTHA 2018) conference, which was held in Rostov-on-Don, Russia, in April 2018.

The book covers a diverse range of topics in advanced mathematics, including harmonic analysis, functional analysis, operator theory, function theory, differential equations and fractional analysis – all fields that have been intensively developed in recent decades. Direct and inverse problems arising in mathematical physics are studied and new methods for solving them are presented. Complex multiparameter objects that require the involvement of operators with variable parameters and functional spaces, with fractional and even variable exponents, make these approaches all the more relevant.

Given its scope, the book will especially benefit researchers with an interest in new trends in harmonic analysis and operator theory, though it will also appeal to graduate students seeking new and intriguing topics for further investigation.




Editors and Affiliations

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

    Alexey Karapetyants

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

    Vladislav Kravchenko

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

    Elijah Liflyand

Bibliographic Information

  • Book Title: Modern Methods in Operator Theory and Harmonic Analysis

  • Book Subtitle: OTHA 2018, Rostov-on-Don, Russia, April 22-27, Selected, Revised and Extended Contributions

  • Editors: Alexey Karapetyants, Vladislav Kravchenko, Elijah Liflyand

  • Series Title: Springer Proceedings in Mathematics & Statistics

  • DOI: https://doi.org/10.1007/978-3-030-26748-3

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Nature Switzerland AG 2019

  • Hardcover ISBN: 978-3-030-26747-6Published: 29 August 2019

  • Softcover ISBN: 978-3-030-26750-6Published: 29 August 2020

  • eBook ISBN: 978-3-030-26748-3Published: 28 August 2019

  • Series ISSN: 2194-1009

  • Series E-ISSN: 2194-1017

  • Edition Number: 1

  • Number of Pages: XV, 475

  • Number of Illustrations: 12 b/w illustrations, 7 illustrations in colour

  • Topics: Operator Theory, Functional Analysis, Partial Differential Equations

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