Eigenvalues, Embeddings and Generalised Trigonometric Functions [[electronic resource] /] / by Jan Lang, David E. Edmunds

• Autore: Lang Jan
• 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
• Serie: Lecture Notes in Mathematics, . 0075-8434 ; ; 2016