Singular Integral Operators, A. B?ttcher; Solomon G. Mikhlin; R. Lehmann; Siegf

Автор: Kokilashvili, Vakhtang Meskhi, Alexander Samko, Stefan (faculdade De Ciencias E Tecnologia, Universidade Do Algarve, Faro, Portugal)
Название: Integral operators in non-standard function spaces
ISBN: 3319210149 ISBN-13(EAN): 9783319210148
Издательство: Springer
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Описание: Preface.- 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: Hцlder Spaces of Variable Order.- 11 Variable Order Hцlder 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.

Автор: Alexander A. Borichev; Nikolai K. Nikolski
Название: Systems, Approximation, Singular Integral Operators, and Related Topics
ISBN: 3034895348 ISBN-13(EAN): 9783034895347
Издательство: Springer
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Автор: I. Gohberg; N. Krupnik
Название: One-Dimensional Linear Singular Integral Equations
ISBN: 3034897146 ISBN-13(EAN): 9783034897143
Издательство: Springer
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Описание: This book is an introduction to the theory of linear one-dimensional singular integral equations. Singular integral equations have attracted more and more attention, because, on one hand, this class of equations appears in many applications and, on the other, it is one of a few classes of equations which can be solved in explicit form.

Автор: Vladimir Maz`ya; Serguei Nazarov; Boris Plamenevsk
Название: Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains
ISBN: 3034895658 ISBN-13(EAN): 9783034895651
Издательство: Springer
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Описание: For the first time in the mathematical literature, this two-volume work introduces a unified and general approach to the subject. To a large extent, the book is based on the authors` work, and has no significant overlap with other books on the theory of elliptic boundary value problems.

Автор: Vladimir Maz`ya; B. Plamenevskij; Serguei Nazarov;
Название: Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II
ISBN: 303489564X ISBN-13(EAN): 9783034895644
Издательство: Springer
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Описание: For the first time in the mathematical literature, this two-volume work introduces a unified and general approach to the subject. To a large extent, the book is based on the authors` work, and has no significant overlap with other books on the theory of elliptic boundary value problems

Автор: Vakhtang Kokilashvili; Alexander Meskhi; Humberto
Название: Integral Operators in Non-Standard Function Spaces
ISBN: 3319210173 ISBN-13(EAN): 9783319210179
Издательство: Springer
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Описание: 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 Holder 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.

Автор: M.A. Krasnosel`skii; P.P. Zabreyko; E.I. Pustylnik
Название: Integral operators in spaces of summable functions
ISBN: 9401015449 ISBN-13(EAN): 9789401015448
Издательство: Springer
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Описание: The investigation of many mathematical problems is significantly simplified if it is possible to reduce them to equations involving continuous or com- pletely continuous operators in function spaces.