| 书目名称 | Theory of Function Spaces III | | 编辑 | Hans Triebel | | 视频video | | | 概述 | Presentation of the recent theory of function spaces based on building blocks: atoms, quarks, wavelets.Includes theory of function spaces on Lipschitz domains.Continues the books Theory of Function Sp | | 丛书名称 | Monographs in Mathematics | | 图书封面 |  | | 描述 | This book may be considered as the continuation of the monographs [Tri?]and [Tri?] with the same title. It deals with the theory of function spaces of type s s B and F as it stands at the beginning of this century. These two scales of pq pq spacescovermanywell-knownspacesoffunctionsanddistributionssuchasH¨ older- Zygmundspaces,(fractionalandclassical)Sobolevspaces,BesovspacesandHardy spaces. On the one hand this book is essentially self-contained. On the other hand we concentrate principally on those developments in recent times which are related to the nowadays numerous applications of function spaces to some neighboring areas such as numerics, signal processing and fractal analysis, to mention only a few of them. Chapter 1 in [Tri?] is a self-contained historically-oriented survey of the function spaces considered and their roots up to the beginning of the 1990s entitled How to measure smoothness. Chapter 1 of the present book has the same heading indicating continuity. As far as the history is concerned we will now be very brief, restricting ourselves to the essentials needed to make this book self-contained and readable. We complement [Tri?], Chapter 1, by a few points omitted | | 出版日期 | Book 2006 | | 关键词 | Besov space; Boundary value problem; Hardy space; Hölder-Zygmund space; Smooth function; Sobolev space; ca | | 版次 | 1 | | doi | https://doi.org/10.1007/3-7643-7582-5 | | isbn_ebook | 978-3-7643-7582-9Series ISSN 1017-0480 Series E-ISSN 2296-4886 | | issn_series | 1017-0480 | | copyright | Birkhäuser Basel 2006 |
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发表于 2025-3-21 17:42:11
