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About Eigenvalues, Embeddings and Generalised Trigonometric Functions
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.
Detailed Information
| Author: | Jan Lang, David Edmunds (auth.) |
|---|---|
| Publication Year: | 2011 |
| ISBN: | 9783642184291 |
| Pages: | 239 |
| Language: | English |
| File Size: | 1.478 |
| Format: | |
| Price: | FREE |
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