Integral Operators in Non-Standard Function Spaces
Volume 1: Variable Exponent Lebesgue and Amalgam Spaces
Humberto Rafeiro author Vakhtang Kokilashvili author Alexander Meskhi author Stefan Samko author
Format:Paperback
Publisher:Birkhauser Verlag AG
Published:26th May '18
Currently unavailable, and unfortunately no date known when it will be back
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.
“The book is intended for researchers working in diverse branches of analysis and its applications.” (Boris Rubin, zbMATH 1385.47001, 2018)
“The entire book presents a complete picture of the area in a consecutive way. It could be seen as a short encyclopedia that is very useful as a basis for deeper study but also for further research in the area.” (Nikos Labropoulos, Mathematical Reviews, August, 2017)
ISBN: 9783319793252
Dimensions: unknown
Weight: 8774g
567 pages
Softcover reprint of the original 1st ed. 2016