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Eigenvalues, Embeddings and Generalised Trigonometric Functions / by Jan Lang, David Edmunds

By: Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: SpringerLink Bücher | Lecture notes in mathematics ; 2016Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011Description: Online-Ressource (XI, 220p. 10 illus, digital)ISBN:
  • 9783642184291
Subject(s): Additional physical formats: 9783642182679 | Buchausg. u.d.T.: Eigenvalues, embeddings and generalised trigonometric functions. Berlin : Springer, 2011. xi, 220 SeitenDDC classification:
  • 515.72
  • 515 515.72
  • 515
MSC: MSC: *47-02 | 41A35 | 41A46 | 47B06 | 33E30 | 47G10 | 35P05 | 47A75 | 35P15 | 46E35RVK: RVK: SI 850LOC classification:
  • QA299.6-433
  • QA531
DOI: DOI: 10.1007/978-3-642-18429-1Online resources: Summary: 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 spacesSummary: 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-LaplacianPPN: PPN: 1650841949Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SXMS | ZDB-2-LNM | ZDB-2-SMA
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