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Autore: | Lang Jan |
Titolo: | Eigenvalues, Embeddings and Generalised Trigonometric Functions [[electronic resource] /] / by Jan Lang, David E. Edmunds |
Pubblicazione: | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2011 |
Edizione: | 1st ed. 2011. |
Descrizione fisica: | 1 online resource (XI, 220 p. 10 illus.) |
Disciplina: | 515 |
Soggetto topico: | Mathematical analysis |
Analysis (Mathematics) | |
Approximation theory | |
Functional analysis | |
Special functions | |
Differential equations | |
Mathematics—Study and teaching | |
Analysis | |
Approximations and Expansions | |
Functional Analysis | |
Special Functions | |
Ordinary Differential Equations | |
Mathematics Education | |
Persona (resp. second.): | EdmundsD. E (David Eric) |
Note generali: | Bibliographic Level Mode of Issuance: Monograph |
Nota di bibliografia: | Includes bibliographical references and index. |
Nota di contenuto: | 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. |
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. |
Titolo autorizzato: | Eigenvalues, Embeddings and Generalised Trigonometric Functions |
ISBN: | 3-642-18429-4 |
Formato: | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 996466504703316 |
Lo trovi qui: | Univ. di Salerno |
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