Integral operators in non-standard function spaces. Volume 2, Variable exponent Hölder, Morrey--Campanato and grand spaces [electronic resource] / Vakhtang Kokilashvili, Alexander Meskhi, Humberto Rafeiro, Stefan Samko.
Kokilashvili, V. M. (Vakhtang Mikhaĭlovich), author.; Meskhi, Alexander, author.; Rafeiro, Humberto, author.; Samko, S. G. (Stefan Grigorʹevich), author.
2016
QA329.6
Available Online

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Title Integral operators in non-standard function spaces. Volume 2, Variable exponent Hölder, Morrey--Campanato and grand spaces [electronic resource] / Vakhtang Kokilashvili, Alexander Meskhi, Humberto Rafeiro, Stefan Samko.
ISBN 9783319210186 (electronic book)
3319210181 (electronic book)
9783319210179
Published Switzerland : Birkhäuser, 2016.
Language English
Description 1 online resource (xxiii, 1003 pages).
Call Number QA329.6
Dewey Decimal Classification 515/.723
Summary 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.
Bibliography, etc. Note Includes bibliographical references and indexes.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed May 19, 2016).
Added Author Kokilashvili, V. M. (Vakhtang Mikhaĭlovich), author.
Meskhi, Alexander, author.
Rafeiro, Humberto, author.
Samko, S. G. (Stefan Grigorʹevich), author.
Series Operator theory, advances and applications ; v. 249.
Available in Other Form Integral Operators in Non-Standard Function Spaces : Volume 2: Variable Exponent Hölder, Morrey-Campanato and Grand Spaces.
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IV: Grand Lebesgue Spaces
14 Maximal Functions and Potentials
15 Grand Lebesgue Spaces on Sets with Infinite Measure
V: Grand Morrey Spaces
16 Maximal Functions, Fractional and Singular Integrals
17 Multiple Operators on the Cone of Decreasing Functions
A: Grand Bochner Spaces
Bibliography
Symbol Index
Subject Index.IV: Grand Lebesgue Spaces
14 Maximal Functions and Potentials
15 Grand Lebesgue Spaces on Sets with Infinite Measure
V: Grand Morrey Spaces
16 Maximal Functions, Fractional and Singular Integrals
17 Multiple Operators on the Cone of Decreasing Functions
A: Grand Bochner Spaces
Bibliography
Symbol Index
Subject Index.

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