Integral Operators in Non-Standard Function Spaces

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Integral Operators in Non-Standard Function Spaces

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

Functional analysis and transforms

Authors: Vakhtang Kokilashvili, Alexander Meskhi, Humberto Rafeiro, Stefan Samko

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Collection: Operator Theory: Advances and Applications

Language: English

Published by: Birkhauser

Published on: 13th May 2026

Format: LCP-protected ePub

ISBN: 9783031997471


Introduction

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.

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