This two-volume set, 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.
It is intended for a broad audience, ranging from researchers in the area to experts in applied mathematics and prospective students.
| ISBN: | 9783319211534 |
| Publication date: | 24th May 2016 |
| Author: | Vakhtang Kokilashvili, Alexander Meskhi, Humberto Rafeiro, Stefan Samko |
| Publisher: | Birkhauser an imprint of Springer International Publishing |
| Format: | Hardback |
| Series: | Operator Theory: Advances and Applications |
| Genres: |
Functional analysis and transforms |
This two-volume set, 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.It is intended for a broad audience, ranging from researchers in the area to experts in applied mathematics and prospective students.
Integral Operators in Non-Standard Function Spaces features in the following genres: Functional analysis and transforms
Hardback. Not Available.
Integral Operators in Non-Standard Function Spaces was written by Vakhtang Kokilashvili, Alexander Meskhi, Humberto Rafeiro, Stefan Samko and published by Birkhauser an imprint of Springer International Publishing
Yes it is part of Operator Theory: Advances and Applications series