Eigenvalues, Embeddings and Generalised Trigonometric Functions: 2016 (Lecture Notes in Mathematics) - Softcover

Lang, Jan; Edmunds, David E.

 
9783642182679: Eigenvalues, Embeddings and Generalised Trigonometric Functions: 2016 (Lecture Notes in Mathematics)
Softcover
ISBN 10: 3642182674 ISBN 13: 9783642182679
Verlag: Springer, 2011

Inhaltsangabe

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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Von der hinteren Coverseite

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.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2011
Sprache
Englisch
ISBN 10 
3642182674
ISBN 13 
9783642182679
Einband
Tapa blanda
Anzahl der Seiten
240
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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Hamburg
Deutschland

Weitere beliebte Ausgaben desselben Titels

9783642184307: Eigenvalues, Embeddings and Generalised Trigonometric Functions

Vorgestellte Ausgabe

ISBN 10:  3642184308 ISBN 13:  9783642184307
Verlag: Springer, 2011
Softcover