Title: Integral Operators in Non-Standard Function Spaces: Volume 1: Variable Exponent Lebesgue and Amalgam Spaces (Operator Theory: Advances and Applications, 248)
Publisher: Birkh�user
Publication Date: 2016
Language: English
ISBN 10: 3319210149
ISBN 13: 9783319210148
Binding: Hardcover
Condition: New

About this title

Synopsis

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 H�lder 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 mathematicsand prospective students.

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The book is intended for a broad audience, ranging from researchers in the area to experts in applied mathematicsand prospective students.

"About this title" may belong to another edition of this title.

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