Vakhtang Kokilashvili Alexander Meskhi Humberto Rafeiro Stefan Samko Kokilashvili Integral Operators in Non-Standard Function Spaces

Integral Operators in Non-Standard Function Spaces

von Vakhtang Kokilashvili Alexander Meskhi Humberto Rafeiro Stefan Samko

Volume 4: Progress in Morrey-Type Spaces and Related Topics

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Beschreibung

The present monograph is the second volume in the natural extension of the prior 2-volume work with the same title and by the same authors, which encompassed findings up until 2014. This four-volume project encapsulates the authors’ decade-long research in the trending topic of nonstandard function spaces and operator theory. 

Among other things, this volume treats interpolation and extrapolation problems, boundedness criteria for multilinear fractional integrals in classical and grand Lebesgue spaces, and focusses on Morrey-type and Herz 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.


The present monograph is the second volume in the natural extension of the prior 2-volume work with the same title and by the same authors, which encompassed findings up until 2014. This four-volume project encapsulates the authors’ decade-long research in the trending topic of nonstandard function spaces and operator theory. 

Among other things, this volume treats interpolation and extrapolation problems, boundedness criteria for multilinear fractional integrals in classical and grand Lebesgue spaces, and focusses on Morrey-type and Herz 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.


Provides a comprehensive overview of the past decade's developments in the realm of non-standard function spaces Covers an extensive range of results in the theory of integral operators, encompassing the linear and multilinear cases Written for a broad audience, ranging from researchers to experts in applied mathematics and prospective students

Autor*in

Vakhtang Kokilashvili

Themen in »Integral Operators in Non-Standard Function Spaces«

Morrey-Type Spaces Herz Spaces Sharp Estimates Quasi-Metric Measure Spaces Integral Transforms

Stimmen zu »Integral Operators in Non-Standard Function Spaces«

Details

ISBN: 9783031997471
Verlag: Springer International Publishing
Erscheinung: 13.05.2026

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