Theory of function spaces
著者
書誌事項
Theory of function spaces
(Monographs in mathematics, v. 78,
Birkhäuser, 1983-2020
- [1]
- 2 : sz
- 2 : us
- 3
- 4
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[I]413.5//T00013730775,
II : sz413.59//TR5//834815100050382,15100090925,15100183480, III413.59//TR5//257215100225729
注記
Bibliography: [1], p. 273-283; 2, p. [347]-366; 3, p. 397-416; 4, p. [147]-156
Includes bibliographical references and index
内容説明・目次
- 巻冊次
-
4 ISBN 9783030358907
内容説明
This book is the continuation of the "Theory of Function Spaces" trilogy, published by the same author in this series and now part of classic literature in the area of function spaces. It can be regarded as a supplement to these volumes and as an accompanying book to the textbook by D.D. Haroske and the author "Distributions, Sobolev spaces, elliptic equations".
目次
Preface.- Fundamental principles.- The essentials, key theorems.- Further topics.- Complements.
- 巻冊次
-
[1] ISBN 9783764313814
内容説明
The book deals with the two scales Bsp,q and Fsp,q of spaces of distributions, where - and 0
目次
Spaces of Entire Analytic Functions.- Function Spaces on Rn.- Function Spaces on Domains.- Regular Elliptic Differential Equations.- Homogeneous Function Spaces.- Ultra-Distributions and Weighted Spaces of Entire Analytic Functions.- Weighted Function Spaces on Rn.- Weighted Function Spaces on Domains and Degenerate Elliptic Differential Equations.- Periodic Function Spaces.- Further Types of Function Spaces.
- 巻冊次
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2 : sz ISBN 9783764326395
内容説明
s s T h is b o ok de als w ith the the o ry of func tion s p ac e s of t y p e B and F as it s t ands pq pq at the end of the eigh ties. These t w o scales of spaces co v er man y w ell- kno w n s paces of functions a nd distributions suc h as H.. olde r-Zy gm und s pac e s , Sob ole v s pac e s , fra- tional Sob o lev s paces (prev ious ly a ls o o ft en referred to a s Bes s e l-p o ten tial s paces ), Be s o v s pac e s , i nhom oge ne ous Hardy s p ac e s , s pac e s of BM O-t y p e and l o c al appro - imation s paces whic h are clos ely c onnected with Morrey-Campanato s paces.
目次
How To Measure Smoothness.- The Spaces and :Definit.- Atoms, Oscillations, and Distinguished Representations.- Key Theorems.- Spaces on Domains.- Mapping Properties of Pseudodifferential Operators.- Spaces on Riemannian Manifolds and Lie Groups.
- 巻冊次
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3 ISBN 9783764375812
内容説明
This volume presents the recent theory of function spaces, paying special attention to some recent developments related to neighboring areas such as numerics, signal processing, and fractal analysis. Local building blocks, in particular (non-smooth) atoms, quarks, wavelet bases and wavelet frames are considered in detail and applied to diverse problems, including a local smoothness theory, spaces on Lipschitz domains, and fractal analysis.
目次
How to Measure Smoothness.- Atoms and Pointwise Multipliers.- Wavelets.- Spaces on Lipschitz Domains, Wavelets and Sampling Numbers.- Anisotropic Function Spaces.- Weighted Function Spaces.- Fractal Analysis: Measures, Characteristics, Operators.- Function Spaces on Quasi-metric Spaces.- Function Spaces on Sets.
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