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Integral Operators in Non-Standard Function Spaces A Sequel: Inequalities, Sharp Estimates, Bounded Variation, and Approximation /

This volume, as a sequel to Volumes I-IV of “Integral Operators in Non-Standard Function Spaces”, is devoted to the authors’ most recent advances in harmonic analysis and their applications. This volume focusses on Rellich inequalities in the variable exponent and multilinear settings, trace inequal...

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Bibliographic Details
Main Authors: Meskhi, Alexander (Author), Rafeiro, Humberto (Author), Samko, Stefan (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2025.
Edition:1st ed. 2025.
Series:Operator Theory: Advances and Applications, 310
Subjects:
Operator theory.
Functional analysis.
Operator Theory.
Functional Analysis.
Online Access:https://doi.org/10.1007/978-3-032-03691-9
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490 1 |a Operator Theory: Advances and Applications,  |x 2296-4878 ;  |v 310 
505 0 |a - 1. Rellich Inequality -- 2. Trace Inequalities for Fractional Integrals -- 3. Integral Transforms Associated with Measures -- 4. Sharp Bounds in Weighted Inequalities -- 5. Olsen Inequality -- 6. More on Herz-Type Spaces -- 7. Approximation in Subspaces of Morrey Spaces -- 8. Bounded Variation Spaces and Related Topics. 
520 |a This volume, as a sequel to Volumes I-IV of “Integral Operators in Non-Standard Function Spaces”, is devoted to the authors’ most recent advances in harmonic analysis and their applications. This volume focusses on Rellich inequalities in the variable exponent and multilinear settings, trace inequalities for linear and multilinear fractional integrals, sharp weighted estimates for norms of operators of harmonic analysis, criteria governing Sobolev-type inequalities for (generalized) fractional integrals associated with non-doubling measures, sharp Olsen-type inequalities, studies on Herz-type spaces, approximation in subspaces of Morrey spaces, introduction of variable exponent bounded variation spaces in the Riesz sense, and characterization of weighted Sobolev spaces via weighted Riesz bounded variation spaces. The book is aimed at an audience ranging from researchers in operator theory and harmonic analysis to experts in applied mathematics and post graduate students. In particular, it is hoped that this book will serve as a source of inspiration for researchers in abstract harmonic analysis, function spaces, PDEs and boundary value problems. 
532 8 |a Accessibility summary: This PDF has been created in accordance with the PDF/UA-1 standard to enhance accessibility, including screen reader support, described non-text content (images, graphs), bookmarks for easy navigation, keyboard-friendly links and forms and searchable, selectable text. We recognize the importance of accessibility, and we welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us at accessibilitysupport@springernature.com. Please note that a more accessible version of this eBook is available as ePub. 
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