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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Bibliographic Details
Main Authors: Kokilashvili, V. M (Vakhtang Mikhaĭlovich) (Author), Meskhi, Alexander (Author), Rafeiro, Humberto (Author), Samko, S. G (Stefan Grigorʹevich) (Author)
Format: Book
Language:English
Published: Switzerland : Birkhäuser, 2016
Series:Operator theory, advances and applications ; v. 249
Subjects:
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100 1 |a Kokilashvili, V. M  |q (Vakhtang Mikhaĭlovich),  |e author. 
245 1 0 |a Integral operators in non-standard function spaces  |n Volume 2,  |p Variable exponent Hölder, Morrey--Campanato and grand spaces /  |c Vakhtang Kokilashvili, Alexander Meskhi, Humberto Rafeiro, Stefan Samko. 
246 3 0 |a Variable exponent Hölder, Morrey--Campanato and grand spaces 
264 1 |a Switzerland :  |b Birkhäuser,  |c 2016 
300 |a 1 online resource (xxiii, 1003 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a Operator theory: Advances and applications,  |x 2296-4878 ;  |v volume 249 
504 |a Includes bibliographical references and indexes 
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 
588 0 |a Online resource; title from PDF title page (SpringerLink, viewed May 19, 2016) 
650 0 |a Algebraic spaces 
650 0 |a Integral operators 
650 7 |a Algebraic spaces  |2 fast 
650 7 |a Integral operators  |2 fast 
650 7 |a MATHEMATICS  |x Calculus  |2 bisacsh 
650 7 |a MATHEMATICS  |x Mathematical Analysis  |2 bisacsh 
655 0 |a Electronic books 
655 4 |a Electronic books 
700 1 |a Meskhi, Alexander,  |e author 
700 1 |a Rafeiro, Humberto,  |e author 
700 1 |a Samko, S. G  |q (Stefan Grigorʹevich),  |e author. 
776 0 8 |i Print version:  |a Kokilashvili, V.M. (Vakhtang Mikhaĭlovich)  |t Integral operators in non-standard function spaces. Volume 2, Variable exponent Hölder, Morrey--Campanato and grand spaces.  |d Switzerland : Birkhäuser, [2016]  |z 9783319210179  |w (DLC) 2016940057 
830 0 |a Operator theory, advances and applications ;  |v v. 249  |x 0255-0156 
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