Eigenvalues, Embeddings and Generalised Trigonometric Functions

Jan Lang

ISBN 10: 3642182674 / ISBN 13: 9783642182679

Verlag: Springer, Berlin, Springer Berlin Heidelberg, Springer, 2011

Beschreibung

Druck auf Anfrage Neuware - Printed after ordering - 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.

Bestandsnummer des Verkäufers 9783642182679

Bibliografische Details

• Titel: Eigenvalues, Embeddings and Generalised Trigonometric Functions
• Verlag: Springer, Berlin, Springer Berlin Heidelberg, Springer
• Erscheinungsjahr: 2011
• Sprache: Englisch
• ISBN-10: 3642182674
• ISBN-13: 9783642182679
• Einband: Taschenbuch
• Zustand: Neu
• Abmessungen: 236B x 157 H x 14 T Millimeter Breite: 236 mm, Höhe: 157 mm, Tiefe: 14 mm
• Gewicht: 380 Gramm

Über diesen Titel

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.