ENGLISH

Eigenvalues, Embeddings and Generalised Trigonometric Functions

By Jan Lang , David Edmunds (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2011
ISBN
3642182674, 9783642182679, 9783642184291
DOI
10.1007/978-3-642-18429-1
ISSN
0075-8434
Language
english
Format
PDF
Filesize
1 MB (1550036 bytes)
Series
Lecture Notes in Mathematics 2016
Edition
1
Pages
220\239
Orientation
yes
Scanned
no
Time added
2011-08-31 04:54:40
Analysis; Approximations and Expansions; Functiona

Description

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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