Lipschitz Functions, ?tefan Cobza?; Radu Miculescu; Adriana Nicolae
Автор: Weaver Nik Название: Lipschitz Algebras (Second Edition) ISBN: 9814740632 ISBN-13(EAN): 9789814740630 Издательство: World Scientific Publishing Рейтинг: Цена: 24552.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 'The book is very well-written by one of the leading figures in the subject. It is self-contained, includes relevant recent advances and is enriched by a large number of examples and illustrations. In addition to the general bibliography, each chapter includes a section of notes, which details the authorship of the main results, and provides useful hints for further readings. Undoubtedly, this edition will be received by researchers with the same success as the first one.'European Mathematical SocietyThis is the standard reference on algebras of Lipschitz functions, written by the leading figure in the field. The second edition includes new chapters on nonlinear Banach space geometry, differentiability in metric measure spaces, and quantum metrics. This latest material reflects the importance of spaces of Lipschitz functions in a diverse range of current research directions. Every functional analyst should have some knowledge of this subject.
Описание: This book, which is based on several courses of lectures given by the author at the Independent University of Moscow, is devoted to Sobolev-type spaces and boundary value problems for linear elliptic partial differential equations.
Автор: Piasecki, Lukasz Название: Classification of Lipschitz Mappings ISBN: 036737904X ISBN-13(EAN): 9780367379049 Издательство: Taylor&Francis Рейтинг: Цена: 9798.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Classification of Lipschitz Mappings presents a systematic, self-contained treatment of a new classification of Lipschitz mappings and its application in many topics of metric fixed point theory. Suitable for readers interested in metric fixed point theory, differential equations, and dynamical systems, the book only requires a basic background in functional analysis and topology.
The author focuses on a more precise classification of Lipschitzian mappings. The mean Lipschitz condition introduced by Goebel, Japуn Pineda, and Sims is relatively easy to check and turns out to satisfy several principles:
Regulating the possible growth of the sequence of Lipschitz constants k(Tn)
Ensuring good estimates for k0(T) and k∞(T)
Providing some new results in metric fixed point theory
Автор: Tao Qian; Pengtao Li Название: Singular Integrals and Fourier Theory on Lipschitz Boundaries ISBN: 9811364990 ISBN-13(EAN): 9789811364990 Издательство: Springer Рейтинг: Цена: 11179.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The main purpose of this book is to provide a detailed and comprehensive survey of the theory of singular integrals and Fourier multipliers on Lipschitz curves and surfaces, an area that has been developed since the 1980s. The subject of singular integrals and the related Fourier multipliers on Lipschitz curves and surfaces has an extensive background in harmonic analysis and partial differential equations. The book elaborates on the basic framework, the Fourier methodology, and the main results in various contexts, especially addressing the following topics: singular integral operators with holomorphic kernels, fractional integral and differential operators with holomorphic kernels, holomorphic and monogenic Fourier multipliers, and Cauchy-Dunford functional calculi of the Dirac operators on Lipschitz curves and surfaces, and the high-dimensional Fueter mapping theorem with applications. The book offers a valuable resource for all graduate students and researchers interested in singular integrals and Fourier multipliers.
Автор: Ravi P. Agarwal; Donal O`Regan; D. R. Sahu Название: Fixed Point Theory for Lipschitzian-type Mappings with Applications ISBN: 1441926062 ISBN-13(EAN): 9781441926067 Издательство: Springer Рейтинг: Цена: 23058.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Over the past few decades, fixed point theory has become an important field of study in both pure and applied mathematics. This book presents the main techniques and results in the theory, from preliminary topics and basic results to applicable problems.
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