Integral Operators in Non-Standard Function Spaces

Language: English

Published by Birkhauser Verlag AG, CH, 2016

3319210173 / 9783319210179

Series: Book 97 of 132 - Operator Theory: Advances and Applications

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This book, the result of the authors' long and fruitful collaboration, focuses on integral operators in new, non-standard function spaces and presents a systematic study of the boundedness and compactness properties of basic, harmonic analysis integral operators in the following function spaces, among others: variable exponent Lebesgue and amalgam spaces, variable Hölder spaces, variable exponent Campanato, Morrey and Herz spaces, Iwaniec-Sbordone (grand Lebesgue) spaces, grand variable exponent Lebesgue spaces unifying the two spaces mentioned above, grand Morrey spaces, generalized grand Morrey spaces, and weighted analogues of some of them.The results obtained are widely applied to non-linear PDEs, singular integrals and PDO theory. One of the book's most distinctive features is that the majority of the statements proved here are in the form of criteria.The book is intended for a broad audience, ranging from researchers in the area to experts in applied mathematics and prospective students.

Seller Inventory # LU-9783319210179

Title
Integral Operators in Non-Standard Function Spaces
Author
Vakhtang Kokilashvili, Alexander Meskhi, Humberto Rafeiro, Stefan Samko
Publisher
Birkhauser Verlag AG, CH
Publication year
2016
Condition
New
Binding
Hardback
Language
English
ISBN 10
3319210173
ISBN 13
9783319210179
Edition
1st ed. 2016.
Series
Book 97 of 132: Operator Theory: Advances and Applications

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