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Integral Operators In Non-Standard Function Spaces eBook

Volume 3: Advances In Grand Function Spaces

by Alexander Meskhi, Humberto Rafeiro, Stefan Samko e Vakhtang Kokilashvili
language: english
Publisher: Springer Nature Switzerland, October of 2024 ‧
198,74€
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The present monograph serves as a natural extension of the prior 2-volume monograph 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.

One of the main novelties of the present book is to develop the extrapolation theory, generally speaking, in grand Banach function spaces, and to apply it for obtaining the boundedness of fundamental operators of harmonic analysis, in particular, function spaces such as grand weighted Lebesgue and Lorentz spaces, grand variable exponent Lebesgue/Morrey spaces, mixed normed function spaces, etc. Embeddings in grand variable exponent Hajasz-Sobolev spaces are also studied. Some applications to the approximation theory and boundary value problems of analytic functions are presented as well.

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, we hope that this book will serve as a source of inspiration for researchers in abstract harmonic analysis, function spaces, PDEs and boundary value problems.

Integral Operators In Non-Standard Function Spaces

Volume 3: Advances In Grand Function Spaces

by Alexander Meskhi, Humberto Rafeiro, Stefan Samko e Vakhtang Kokilashvili

Property Description
ISBN: 9783031649837
Publisher: Springer Nature Switzerland
Release Date: October of 2024
Language: English
Format: eBook
File Format and Compatibility:
Collection: Operator Theory: Advances And Applications
Categories: eBooks in English > Science > Mathematics
EAN: 9783031649837
Acessibilidade: Ver características de acessibilidade indicadas pelo editor