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＜電子ブック＞
Integral Operators in Non-Standard Function Spaces : Volume 2: Variable Exponent Hölder, Morrey–Campanato and Grand Spaces / by Vakhtang Kokilashvili, Alexander Meskhi, Humberto Rafeiro, Stefan Samko
(Operator Theory: Advances and Applications. ISSN:22964878 ; 249)

版	1st ed. 2016.
出版者	(Cham : Springer International Publishing : Imprint: Birkhäuser)
出版年	2016
本文言語	英語
大きさ	XXIII, 434 p : online resource
著者標目	*Kokilashvili, Vakhtang author Meskhi, Alexander author Rafeiro, Humberto author Samko, Stefan author SpringerLink (Online service)
件　名	LCSH:Operator theory LCSH:Functional analysis FREE:Operator Theory FREE:Functional Analysis
一般注記	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 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 mathematicsand prospective students HTTP:URL=https://doi.org/10.1007/978-3-319-21018-6

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