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

Integral Operators in Non-Standard Function Spaces
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Integral Operators in Non-Standard Function Spaces Vital Source e-bog

Vakhtang Kokilashvili, Alexander Meskhi, Humberto Rafeiro og Stefan Samko
(2016)
Springer Nature
987,00 kr.
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Integral Operators in Non-Standard Function Spaces - Volume 2: Variable Exponent Hölder, Morrey-Campanato and Grand Spaces, 1. udgave

Integral Operators in Non-Standard Function Spaces

Volume 2: Variable Exponent Hölder, Morrey-Campanato and Grand Spaces
Vakhtang Kokilashvili, Alexander Meskhi, Humberto Rafeiro og Stefan Samko
(2016)
Sprog: Engelsk
Springer International Publishing AG
1.292,00 kr.
Print on demand. Leveringstid vil være ca 2-3 uger.

Detaljer om varen

  • Vital Source searchable e-book (Fixed pages)
  • Udgiver: Springer Nature (Maj 2016)
  • Forfattere: Vakhtang Kokilashvili, Alexander Meskhi, Humberto Rafeiro og Stefan Samko
  • ISBN: 9783319210186
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.
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Detaljer om varen

  • 1. Udgave
  • Hardback: 465 sider
  • Udgiver: Springer International Publishing AG (Maj 2016)
  • Forfattere: Vakhtang Kokilashvili, Alexander Meskhi, Humberto Rafeiro og Stefan Samko
  • ISBN: 9783319210179
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.


IV: Grand Lebesgue Spaces. - 14 Maximal Functions and Potentials. - 15 Grand Lebesgue Spaces on Sets with Infinite Measure. -
V: Grand Morrey Spaces. - 16 Maximal Functions, Fractional and Singular Integrals. - 17 Multiple Operators on the Cone of Decreasing Functions. - A: Grand Bochner Spaces. - Bibliography. - Symbol
Index. - Subject
Index.
IV: Grand Lebesgue Spaces. - 14 Maximal Functions and Potentials. - 15 Grand Lebesgue Spaces on Sets with Infinite Measure. -
V: Grand Morrey Spaces. - 16 Maximal Functions, Fractional and Singular Integrals. - 17 Multiple Operators on the Cone of Decreasing Functions. - A: Grand Bochner Spaces. - Bibliography. - Symbol
Index. - Subject
Index.
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