Integral Operators in Non-Standard Function Spaces - Volume 4: Progress in Morrey-Type Spaces and Related Topics

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.

List of contents

Preface.- Chapter.1.Multilinear Integral Operators.- Chapter.2. Integral Operators in (Grand) Morrey Spaces.- Chapter.3. Fractional Integrals of Variable Order Lebesgue and Morrey Spaces.- Chapter.4. Morrey-Type and Herz Spaces.- Bibiliography.- Index.

Summary

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.

Product details

• Authors: Vakhtang Kokilashvili, Alexander Meskhi, Rafeiro, Humberto Rafeiro, Stefan Samko
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Release: 27.09.2025, delayed
• EAN: 9783031997464
• ISBN: 978-3-0-3199746-4
• No. of pages: 550
• Illustrations: X, 550 p.
• Series: Operator Theory: Advances and Applications
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; Functional Analysis, Integral transforms, Operator Theory, Sharp Estimates, Herz Spaces, Morrey-Type Spaces, Quasi-Metric Measure Spaces