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  • Conference proceedings
  • © 2019

Modern Methods in Operator Theory and Harmonic Analysis

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

  • 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

Conference proceedings info: OTHA 2018.

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Table of contents (25 papers)

  1. Front Matter

    Pages i-xv
  2. Function Theory and Approximation Theory

    1. Front Matter

      Pages 1-1
    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. Harmonic Analysis and Hypercomplex Function Theory in Co-dimension One

      • Helmuth R. Malonek, Isabel CaĂ§Ă£o, M. Irene FalcĂ£o, Graça Tomaz
      Pages 93-115
    6. Paraproduct in Besov–Morrey Spaces

      • Yoshihiro Sawano
      Pages 117-133
  3. Functional Analysis and Operator Theory

    1. Front Matter

      Pages 135-135
    2. Mellin Convolution Equations

      • Roland Duduchava
      Pages 153-174
    3. 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
    4. Factorization of Order Bounded Disjointness Preserving Multilinear Operators

      • Anatoly G. Kusraev, Zalina A. Kusraeva
      Pages 217-236
    5. On Widths of Invariant Sets

      • Ekaterina Shulman
      Pages 249-261
  4. Differential Equations and Mathematical Physics

    1. Front Matter

      Pages 273-273

Other Volumes

  1. Modern Methods in Operator Theory and Harmonic Analysis

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 QuerĂ©taro, 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

Buy it now

Buying options

eBook USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access