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

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Kokilashvili, Vakhtang (Autor), Meskhi, Alexander (Autor), Rafeiro, Humberto (Autor), Samko, Stefan (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
Edición:1st ed. 2016.
Colección:Operator Theory: Advances and Applications, 249
Temas:
Acceso en línea:Texto Completo

MARC

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100 1 |a Kokilashvili, Vakhtang.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Integral Operators in Non-Standard Function Spaces  |h [electronic resource] :  |b Volume 2: Variable Exponent Hölder, Morrey-Campanato and Grand Spaces /  |c by Vakhtang Kokilashvili, Alexander Meskhi, Humberto Rafeiro, Stefan Samko. 
250 |a 1st ed. 2016. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Birkhäuser,  |c 2016. 
300 |a XXIII, 434 p.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a Operator Theory: Advances and Applications,  |x 2296-4878 ;  |v 249 
505 0 |a 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. 
520 |a 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. 
650 0 |a Operator theory. 
650 0 |a Functional analysis. 
650 1 4 |a Operator Theory. 
650 2 4 |a Functional Analysis. 
700 1 |a Meskhi, Alexander.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Rafeiro, Humberto.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Samko, Stefan.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
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830 0 |a Operator Theory: Advances and Applications,  |x 2296-4878 ;  |v 249 
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