---

＜電子ブック＞
Eigenvalues, Embeddings and Generalised Trigonometric Functions / by Jan Lang, David E. Edmunds
(Lecture Notes in Mathematics. ISSN:16179692 ; 2016)

版	1st ed. 2011.
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

 類似資料