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Titlebook: Eigenvalues, Embeddings and Generalised Trigonometric Functions; Jan Lang,David Edmunds Book 2011 Springer-Verlag Berlin Heidelberg 2011 4

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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Titlebook: Eigenvalues, Embeddings and Generalised Trigonometric Functions;  Jan Lang,David Edmunds Book 2011 Springer-Verlag Berlin Heidelberg 2011 4
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
doihttps://doi.org/10.1007/978-3-642-18429-1
isbn_softcover978-3-642-18267-9
isbn_ebook978-3-642-18429-1Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer-Verlag Berlin Heidelberg 2011
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Estimates of ,-Numbers of Weighted Hardy Operators,
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Eigenvalues, Embeddings and Generalised Trigonometric Functions
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0075-8434 tors 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.978-3-642-18267-9978-3-642-18429-1Series ISSN 0075-8434 Series E-ISSN 1617-9692
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Book 2011important 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.
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