Items related to Eigenvalues, Embeddings and Generalised Trigonometric...

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

Lang, Jan; Edmunds, David E.

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

"synopsis" may belong to another edition of this title.

From the Back Cover

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.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2011
Language
English
ISBN 10 
3642182674
ISBN 13 
9783642182679
Binding
Paperback
Number of pages
231