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Eigenvalues, Embeddings and Generalised Trigonometric Functions / by Jan Lang, David E. Edmunds
(Lecture Notes in Mathematics. ISSN:16179692 ; 2016)
版 | 1st ed. 2011. |
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出版者 | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
出版年 | 2011 |
大きさ | XI, 220 p. 10 illus : online resource |
著者標目 | *Lang, Jan author Edmunds, David E author SpringerLink (Online service) |
件 名 | LCSH:Mathematical analysis LCSH:Approximation theory LCSH:Functional analysis LCSH:Special functions LCSH:Differential equations LCSH:Mathematics—Study and teaching FREE:Analysis FREE:Approximations and Expansions FREE:Functional Analysis FREE:Special Functions FREE:Differential Equations FREE:Mathematics Education |
一般注記 | 1 Basic material -- 2 Trigonometric generalisations -- 3 The Laplacian and some natural variants -- 4 Hardy operators -- 5 s-Numbers and generalised trigonometric functions -- 6 Estimates of s-numbers of weighted Hardy operators -- 7 More refined estimates -- 8 A non-linear integral system -- 9 Hardy operators on variable exponent spaces 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 HTTP:URL=https://doi.org/10.1007/978-3-642-18429-1 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783642184291 |
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EB00211060 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA299.6-433 DC23:515 |
書誌ID | 4000115473 |
ISBN | 9783642184291 |
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※2017年9月4日以降