Eigenvalues, Embeddings and Generalised Trigonometric Functions - Couverture souple

Lang, Jan; Edmunds, David E.

 
9783642182679: Eigenvalues, Embeddings and Generalised Trigonometric Functions

Synopsis

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.

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Présentation de l'éditeur

This volume explores integral operators of Hardy type and related Sobolev embeddings from an s-numbers perspective. The text uses proof methods that incorporate the geometry of Banach spaces and generalized trigonometric functions.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Autres éditions populaires du même titre

9783642184307: Eigenvalues, Embeddings and Generalised Trigonometric Functions

Edition présentée

ISBN 10 :  3642184308 ISBN 13 :  9783642184307
Editeur : Springer, 2011
Couverture souple