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Eigenvalues, Embeddings and Generalised Trigonometric Functions

Eigenvalues, Embeddings and Generalised Trigonometric Functions

by Jan Lang and David E. Edmunds
Paperback
Publication Date: 23/03/2011

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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.
ISBN:
9783642182679
9783642182679
Category:
Real analysis
Format:
Paperback
Publication Date:
23-03-2011
Language:
English
Publisher:
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Country of origin:
Germany
Pages:
220
Dimensions (mm):
235x155x12mm
Weight:
0.45kg

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