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Orlicz Spaces and Generalized Orlicz Spaces, Petteri Harjulehto; Peter H?st?


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Автор: Petteri Harjulehto; Peter H?st?
Название:  Orlicz Spaces and Generalized Orlicz Spaces
ISBN: 9783030150990
Издательство: Springer
Классификация:




ISBN-10: 3030150992
Обложка/Формат: Soft cover
Страницы: 169
Вес: 0.29 кг.
Дата издания: 2019
Серия: Lecture Notes in Mathematics
Язык: English
Издание: 1st ed. 2019
Иллюстрации: 9 illustrations, black and white; x, 169 p. 9 illus.
Размер: 234 x 156 x 10
Читательская аудитория: Professional & vocational
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book presents a systematic treatment of generalized Orlicz spaces (also known as Musielak–Orlicz spaces) with minimal assumptions on the generating ?-function. It introduces and develops a technique centered on the use of equivalent ?-functions. Results from classical functional analysis are presented in detail and new material is included on harmonic analysis. Extrapolation is used to prove, for example, the boundedness of Calder?n–Zygmund operators. Finally, central results are provided for Sobolev spaces, including Poincar? and Sobolev–Poincar? inequalities in norm and modular forms.Primarily aimed at researchers and PhD students interested in Orlicz spaces or generalized Orlicz spaces, this book can be used as a basis for advanced graduate courses in analysis.
Дополнительное описание: - Introduction.- ?-Functions. - Generalized Orlicz Spaces. - Maximal and Averaging Operators. - Extrapolation and Interpolation. - Sobolev Spaces. - Special Cases.


Real-Variable Theory of Musielak-Orlicz Hardy Spaces

Автор: Dachun Yang; Yiyu Liang; Luong Dang Ky
Название: Real-Variable Theory of Musielak-Orlicz Hardy Spaces
ISBN: 3319543601 ISBN-13(EAN): 9783319543604
Издательство: Springer
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Цена: 60550.00 T
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Описание: The main purpose of this book is to give a detailed and complete survey of recent progress related to the real-variable theory of Musielak-Orlicz Hardy-type function spaces, and to lay the foundations for further applications.The real-variable theory of function spaces has always been at the core of harmonic analysis.

Trajectory Spaces, Generalized Functions and Unbounded Operators

Автор: Stephanus van Eijndhoven; Johannes de Graaf
Название: Trajectory Spaces, Generalized Functions and Unbounded Operators
ISBN: 3540160655 ISBN-13(EAN): 9783540160656
Издательство: Springer
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Цена: 32560.00 T
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Orlicz Spaces and Modular Spaces

Автор: J. Musielak
Название: Orlicz Spaces and Modular Spaces
ISBN: 3540127062 ISBN-13(EAN): 9783540127062
Издательство: Springer
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Цена: 32560.00 T
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Generalized Mercer Kernels and Reproducing Kernel Banach Spaces

Автор: Yuesheng Xu, Qi Ye
Название: Generalized Mercer Kernels and Reproducing Kernel Banach Spaces
ISBN: 1470435500 ISBN-13(EAN): 9781470435509
Издательство: Mare Nostrum (Eurospan)
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Цена: 83160.00 T
Наличие на складе: Невозможна поставка.
Описание: Examines constructions of reproducing kernel Banach spaces (RKBSs) which may be viewed as a generalization of reproducing kernel Hilbert spaces (RKHSs). A key point is to endow Banach spaces with reproducing kernels such that machine learning in RKBSs can be well-posed and of easy implementation.

Generalized Analytic Functions in Fractional Spaces

Автор: N K Bliev
Название: Generalized Analytic Functions in Fractional Spaces
ISBN: 0582288614 ISBN-13(EAN): 9780582288614
Издательство: Taylor&Francis
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Цена: 142910.00 T
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Описание: This is a study of the foundation of the general theory of generalized analytic functions in fractional spaces. The employment of fractional spaces and inclusion theorems offers the possibility of applications of the theory of generalized analytic functions.

Generalized Functions, Volume 2: Spaces of Fundamental and Generalized Functions

Автор: I.M. Gel`fand, G.E. Shilov
Название: Generalized Functions, Volume 2: Spaces of Fundamental and Generalized Functions
ISBN: 1470426595 ISBN-13(EAN): 9781470426590
Издательство: Mare Nostrum (Eurospan)
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Цена: 57690.00 T
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Описание: The first systematic theory of generalized functions (also known as distributions) was created in the early 1950s, although some aspects were developed much earlier, most notably in the definition of the Green's function in mathematics and in the work of Paul Dirac on quantum electrodynamics in physics. The six-volume collection, Generalized Functions, written by I. M. Gelfand and co-authors and published in Russian between 1958 and 1966, gives an introduction to generalized functions and presents various applications to analysis, PDE, stochastic processes, and representation theory.Volume 2 is devoted to detailed study of generalized functions as linear functionals on appropriate spaces of smooth test functions. In Chapter 1, the authors introduce and study countable-normed linear topological spaces, laying out a general theoretical foundation for the analysis of spaces of generalized functions. The two most important classes of spaces of test functions are spaces of compactly supported functions and Schwartz spaces of rapidly decreasing functions. In Chapters 2 and 3 of the book, the authors transfer many results presented in Volume 1 to generalized functions corresponding to these more general spaces. Finally, Chapter 4 is devoted to the study of the Fourier transform; in particular, it includes appropriate versions of the Paley-Wiener theorem.

Generalized Symmetric Spaces

Автор: O. Kowalski
Название: Generalized Symmetric Spaces
ISBN: 3540100024 ISBN-13(EAN): 9783540100027
Издательство: Springer
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Цена: 23250.00 T
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