Eigenvalues, embeddings and generalised trigonometric functions

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 wit...

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Detalhes bibliográficos
Auteurs principaux: Lang, Jan, 19..-, Edmunds, David Eric, 1931- (Auteur)
Formato: Livre numérique
Idioma:Anglais
Publicado em: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Edição:1st ed. 2011.
Colecção:Lecture Notes in Mathematics 2016
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Nota: L'impression du document génère 229 p.
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Edition sous un autre format:• Eigenvalues, embeddings and generalised trigonometric functions, Jan Lang, David Edmunds, Heidelberg, Springer, 2011, 1 vol. (XI-220 p.), Lecture notes in mathematics, 978-3-642-18267-9
Descrição
Resumo: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
Descrição do item:L'impression du document génère 229 p.
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Bibliografia:Bibliogr. Index
ISBN:9783642184291
ISSN:1617-9692
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