书目名称 | Eigenvalues, Embeddings and Generalised Trigonometric Functions | 编辑 | Jan Lang,David Edmunds | 视频video | | 概述 | Review of recent developments in approximation theory for Hardy-type operators and Sobolev embeddings (description of the exact values of s-numbers and widths).A special chapter devoted to the theory | 丛书名称 | Lecture Notes in Mathematics | 图书封面 |  | 描述 | The main theme of the book is the study, from the standpoint of s-numbers, of integral operators of Hardy type and related Sobolev embeddings. In the theory of s-numbers the idea is to attach to every bounded linear map between Banach spaces a monotone decreasing sequence of non-negative numbers with a view to the classification of operators according to the way in which these numbers approach a limit: approximation numbers provide an especially important example of such numbers. The asymptotic behavior of the s-numbers of Hardy operators acting between Lebesgue spaces is determined here in a wide variety of cases. The proof methods involve the geometry of Banach spaces and generalized trigonometric functions; there are connections with the theory of the p-Laplacian. | 出版日期 | Book 2011 | 关键词 | 41A35, 41A46, 47B06, 33E30, 47G10, 35P05; eigenvalues and eigenfunctions; generalized trigonometric fu | 版次 | 1 | doi | https://doi.org/10.1007/978-3-642-18429-1 | isbn_softcover | 978-3-642-18267-9 | isbn_ebook | 978-3-642-18429-1Series ISSN 0075-8434 Series E-ISSN 1617-9692 | issn_series | 0075-8434 | copyright | Springer-Verlag Berlin Heidelberg 2011 |
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