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[null,"1.","Record Nr.",null,"UNINA9910484158903321"]
[null,null,"Autore",null,"Lang Jan"]
[null,null,"Titolo",null,"Eigenvalues, embeddings and generalised trigonometric functions / / Jan Lang, David Edmunds"]
[null,null,"Pubbl/distr/stampa",null,"Berlin, : Springer, 2011"]
[null,null,"ISBN",null,"9783642184291"]
[{"$nulls":4},"3642184294"]
[null,null,"Edizione",null,"[1st ed. 2011.]"]
[null,null,"Descrizione fisica",null,"1 online resource (XI, 220 p. 10 illus.)"]
[null,null,"Collana",null,"Lecture notes in mathematics, , 0075-8434 ; ; 2016"]
[null,null,"Disciplina",null,"515"]
[null,null,"Soggetti",null,"Trigonometrical functions"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Bibliographic Level Mode of Issuance: Monograph"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"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."]
[null,null,null,"Sommario/riassunto","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."]