Eigenvalues, Embeddings and Generalised Trigonometric Functions (Paperback, 2011 ed.)

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.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Lecture Notes in Mathematics, 2016
Release date:	March 2011
First published:	2011
Authors:	Jan Lang • David E. Edmunds
Dimensions:	235 x 155 x 12mm (L x W x T)
Format:	Paperback
Pages:	220
Edition:	2011 ed.
ISBN-13:	978-3-642-18267-9
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Real analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
LSN:	3-642-18267-4
Barcode:	9783642182679

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