Integral Operators in Non-Standard Function Spaces
Volume 2: Variable Exponent Hölder, Morrey-Campanato and Grand Spaces
Published on 12. May 2016
XXIII, 434 pages
978-3-319-21018-6 (ISBN)
Description
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.
Reviews / Votes
"The entire book, which is written in a complete consecutive way of presentation of the material, could be considered as a short encyclopedia, very useful for providing a basis for further research in the area." (Nikos Labropoulos, Mathematical Reviews, August, 2017)More details
Series
Edition
1st ed. 2016
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Illustrations
XXIII, 434 p.
File size
4,82 MB
ISBN-13
978-3-319-21018-6 (9783319210186)
DOI
10.1007/978-3-319-21018-6
Schweitzer Classification
Other editions
Additional editions
Vakhtang Kokilashvili | Alexander Meskhi | Humberto Rafeiro
Integral Operators in Non-Standard Function Spaces
Volume 2: Variable Exponent Hölder, Morrey-Campanato and Grand Spaces
Book
05/2016
Birkhäuser
€117.69
Shipment within 10-15 days
Content
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.
