Integral Operators In Non Standard Function Spaces

Author: Vakhtang Kokilashvili
Editor: Birkhäuser
ISBN: 9783319211534
File Size: 39,37 MB
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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
Language: en
Pages: 434
Authors: Vakhtang Kokilashvili, Alexander Meskhi, Humberto Rafeiro, Stefan Samko
Categories: Mathematics
Type: BOOK - Published: 2016-05-12 - Publisher: Birkhäuser

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,
Integral Operators in Non-Standard Function Spaces
Language: en
Pages: 1068
Authors: Vakhtang Kokilashvili, Alexander Meskhi, Humberto Rafeiro, Stefan Samko
Categories: Mathematics
Type: BOOK - Published: 2016-05-24 - Publisher: Birkhäuser

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
Integral Operators in Non-Standard Function Spaces
Language: en
Pages: 567
Authors: Vakhtang Kokilashvili, Alexander Meskhi, Humberto Rafeiro, Stefan Samko
Categories: Mathematics
Type: BOOK - Published: 2016-05-11 - Publisher: Birkhäuser

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,
Integral Operators in Non-Standard Function Spaces
Language: en
Pages: 603
Authors: Vakhtang Kokilashvili, Alexander Meskhi, Humberto Rafeiro, Stefan Samko
Categories: Mathematics
Type: BOOK - Published: 2016-10-07 - Publisher: Birkhäuser

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,
Integral Operators in Non-standard Function Spaces: Variable Exponent Morrey-Campanato and Herz Spaces. 12. Morrey Type Spaces; Constant Exponents ; 13. Morrey, Campanato and Herz Spaces with Variable Exponents ; 14. Singular Integrals and Potentials in Grand Lebesgue Spaces ; 15. Grand Lebesgue Spaces on Sets of Infinite Measure ; 16. Fractional and Singular Integrals in Grand Morrey Spaces ; 17. Multiple Variable Operators on the Cone of Decreasing Functions
Language: en
Pages: 1003
Authors: Vakhtang Mikhaĭlovich Kokilashvili, Alexander Meskhi, Humberto Rafeiro, Stefan Grigorʹevich Samko
Categories: Algebraic spaces
Type: BOOK - Published: 2016 - Publisher:

"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,