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Viser: Integral Operators in Non-Standard Function Spaces - Volume 1: Variable Exponent Lebesgue and Amalgam Spaces
Integral Operators in Non-Standard Function Spaces Vital Source e-bog
Vakhtang Kokilashvili, Alexander Meskhi, Humberto Rafeiro og Stefan Samko
(2016)
Integral Operators in Non-Standard Function Spaces
Volume 1: Variable Exponent Lebesgue and Amalgam Spaces
Vakhtang Kokilashvili, Alexander Meskhi, Humberto Rafeiro og Stefan Samko
(2016)
Sprog: Engelsk
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: 9783319210155
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Detaljer om varen
- 1. Udgave
- Hardback: 603 sider
- Udgiver: Springer International Publishing AG (Maj 2016)
- Forfattere: Vakhtang Kokilashvili, Alexander Meskhi, Humberto Rafeiro og Stefan Samko
- ISBN: 9783319210148
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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I: Variable Exponent Lebesgue and Amalgam spaces. - 1 Hardy Type Operators. - 2 Oscillating weights. - 3 Kernel Integral Operators. - 4 Two-Weight Estimates. - 5 One-sided Operators. - 6 Two-weight Inequalities for Fractional Maximal Functions. - 7 Hypersingular Integrals. - 8 Description of the Range of Potentials
213. - 9 More on Compactness. - 10 Applications to Singular Integral Equations. -
II: H?lder Spaces of Variable Order. - 11 Variable Order H?lder Spaces. -
III: Variable Exponent Morrey-Campanato and Herz Spaces. - 12 Morrey Type Spaces; Constant Exponents. - 13 Morrey Type Spaces; Variable Exponents. - Bibliography. - Symbol
Index. - Subject
Index.
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