Articles liés à Eigenvalues, Embeddings and Generalised Trigonometric...

Eigenvalues, Embeddings and Generalised Trigonometric Functions - Couverture souple

Lang, Jan; Edmunds, David

 
9783642182679: Eigenvalues, Embeddings and Generalised Trigonometric Functions
Couverture souple
ISBN 10 : 3642182674 ISBN 13 : 9783642182679
Editeur : Springer, 2011

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de la quatrième de couverture

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.

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

Éditeur
Springer
Date d'édition
2011
Langue
anglais
ISBN 10 
3642182674
ISBN 13 
9783642182679
Reliure
Broché
Nombre de pages
220
Coordonnées du fabricant
non disponible
Personne responsable
ProductSafety@springernature.com
ProductSafety@springernature.com

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