| 书目名称 | Theory of Besov Spaces | | 编辑 | Yoshihiro Sawano | | 视频video | | | 概述 | Comprises a self-contained description of all contents, accessible to readers familiar with integration theory.Provides the shortest available introduction to the theory of Besov spaces, beginning wit | | 丛书名称 | Developments in Mathematics | | 图书封面 |  | | 描述 | This is a self-contained textbook of the theory of Besov spaces and Triebel–Lizorkin spaces oriented toward applications to partial differential equations and problems of harmonic analysis. These include a priori estimates of elliptic differential equations, the T1 theorem, pseudo-differential operators, the generator of semi-group and spaces on domains, and the Kato problem. Various function spaces are introduced to overcome the shortcomings of Besov spaces and Triebel–Lizorkin spaces as well. The only prior knowledge required of readers is familiarity with integration theory and some elementary functional analysis..Illustrations are included to show the complicated way in which spaces are defined. Owing to that complexity, many definitions are required. The necessary terminology is provided at the outset, and the theory of distributions, .L^p. spaces, the Hardy–Littlewood maximal operator, and the singular integral operators are called upon. One of the highlights is that the proof of the Sobolev embedding theorem is extremely simple. There are two types for each function space: a homogeneous one and an inhomogeneous one. The theory of function spaces, which readers usually learn | | 出版日期 | Textbook 2018 | | 关键词 | Harmonic analysis; Function spaces; Differential equations; Besov spaces; Triebel-Lizorkin spaces | | 版次 | 1 | | doi | https://doi.org/10.1007/978-981-13-0836-9 | | isbn_ebook | 978-981-13-0836-9Series ISSN 1389-2177 Series E-ISSN 2197-795X | | issn_series | 1389-2177 | | copyright | Springer Nature Singapore Pte Ltd. 2018 |
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发表于 2025-3-21 17:12:34
