Maggiori informazioni sul libro
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.
Acquisto del libro
Eigenvalues, embeddings and generalised trigonometric functions, Jan Lang
- Lingua
- Pubblicato
- 2011
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- (In brossura)
Metodi di pagamento
Ancora nessuna valutazione.
- Titolo
- Eigenvalues, embeddings and generalised trigonometric functions
- Lingua
- Inglese
- Autori
- Jan Lang
- Editore
- Springer
- Pubblicato
- 2011
- Formato
- In brossura
- ISBN10
- 3642182674
- ISBN13
- 9783642182679
- Serie
- Descrizione
- 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.