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Integral Operators in Non-Standard Function Spaces: Volume 1: Variable Exponent Lebesgue and Amalgam Spaces
Hardcover
Series: Operator Theory: Advances and Applications, Book 248
ISBN13: 9783319210148
Publisher: Springer Nature
Published: May 20 2016
Pages: 567
Weight: 2.19
Height: 1.25 Width: 6.14 Depth: 9.21
Language: English
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.
3 different editions
Also available
Integral Operators in Non-Standard Function Spaces: Volume 2: Variable Exponent Hölder, Morrey-Campanato and Grand Spaces
Meskhi, Alexander
Rafeiro, Humberto
Kokilashvili, Vakhtang
Hardcover
Integral Operators in Non-Standard Function Spaces: Volume 2: Variable Exponent Hölder, Morrey-Campanato and Grand Spaces
Meskhi, Alexander
Rafeiro, Humberto
Kokilashvili, Vakhtang
Paperback
Integral Operators in Non-Standard Function Spaces: Volume 1: Variable Exponent Lebesgue and Amalgam Spaces
Meskhi, Alexander
Rafeiro, Humberto
Kokilashvili, Vakhtang
Paperback
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