Hardy Operators, Function Spaces and Embeddings, David E. Edmunds; William D. Evans

Автор: Nikolai K. Nikolski
Название: Investigations in Linear Operators and Function Theory
ISBN: 1475715285 ISBN-13(EAN): 9781475715286
Издательство: Springer
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Автор: Valerio Capraro; Martino Lupini; Vladimir Pestov
Название: Introduction to Sofic and Hyperlinear Groups and Connes` Embedding Conjecture
ISBN: 3319193325 ISBN-13(EAN): 9783319193328
Издательство: Springer
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Описание: This point of view, rarely explicitly adopted in the literature, clarifies the ideas therein, and provides additional tools to attack open problems.Sofic and hyperlinear groups are countable discrete groups that can be suitably approximated by finite symmetric groups and groups of unitary matrices.

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: 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: N. Nikolsky
Название: Toeplitz Operators and Spectral Function Theory
ISBN: 3034855893 ISBN-13(EAN): 9783034855891
Издательство: Springer
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Цена: 11179.00 р.
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Описание: Treil` presents a survey of a part of spectral function theory for vector valued function (Szego-Kolmogorov extreme prob!ems for operator weights, bases of vector rational functions, estimations of Hilbert transform with respect to operator weights, the operator corona problem).

Автор: Dorothee Haroske; Thomas Runst; Hans-J?rgen Schmei
Название: Function Spaces, Differential Operators and Nonlinear Analysis
ISBN: 3034894147 ISBN-13(EAN): 9783034894142
Издательство: Springer
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Описание: In a series of books Hans Triebel has given systematic treatments of the theory of function spaces from different points of view, thus revealing its interdependence with interpolation theory, harmonic analysis, partial differential equations, nonlinear operators, entropy, spectral theory and, most recently, anal- ysis on fractals.