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Integral operators in non-standard function spaces = a sequel : inequalities, sharp estimates, bounded variation, and approximation /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Integral operators in non-standard function spaces/ by Alexander Meskhi, Humberto Rafeiro, Stefan Samko.
Reminder of title:	a sequel : inequalities, sharp estimates, bounded variation, and approximation /
Author:	Meskhi, Alexander.
other author:	Rafeiro, S. G.
Published:	Cham :Springer Nature Switzerland : : 2025.,
Description:	xii, 461 p. :ill., digital ;24 cm.
[NT 15003449]:	- 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.
Contained By:	Springer Nature eBook
Subject:	Integral operators. -
Online resource:	https://doi.org/10.1007/978-3-032-03691-9
ISBN:	9783032036919

Integral operators in non-standard function spaces = a sequel : inequalities, sharp estimates, bounded variation, and approximation /
Meskhi, Alexander.

Integral operators in non-standard function spacesa sequel : inequalities, sharp estimates, bounded variation, and approximation /[electronic resource] :by Alexander Meskhi, Humberto Rafeiro, Stefan Samko. - Cham :Springer Nature Switzerland :2025. - xii, 461 p. :ill., digital ;24 cm. - Operator theory: advances and applications,v. 3102296-4878 ;. - Operator theory: advances and applications ;v. 310..

- 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.

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.

ISBN: 9783032036919

Standard No.: 10.1007/978-3-032-03691-9doiSubjects--Topical Terms:

631779
Integral operators.

LC Class. No.: QA329.6

Dewey Class. No.: 515.723

Integral operators in non-standard function spaces = a sequel : inequalities, sharp estimates, bounded variation, and approximation /
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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.
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