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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Integral Operators in Non-Standard Function Spaces: Volume 2: Variable Exponent Hölder, Morrey-Campanato and Grand Spaces

Integral Operators in Non-Standard Function Spaces: Volume 2: Variable Exponent Hölder, Morrey-Campanato and Grand Spaces

Kokilashvili, Vakhtang
Meskhi, Alexander
Rafeiro, Humberto

Hardcover

Series: Operator Theory: Advances and Applications, Book 249

CalculusGeneral Mathematics

ISBN10: 3319210173
ISBN13: 9783319210179
Publisher: Springer Nature
Published: May 23 2016
Pages: 434
Weight: 1.80
Height: 1.00 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.

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