Eigenvalues, Embeddings and Generalised Trigonometric Functions: 2016 - Brossura

Lang, Jan; Edmunds, David E.

Brossura

ISBN 10: 3642182674 ISBN 13: 9783642182679

Casa editrice: Springer, 2011

Riassunto

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.

Dettagli dell?edizione

• Editore: Springer
• Data di pubblicazione: 2011
• Lingua: Inglese
• ISBN 10: 3642182674
• ISBN 13: 9783642182679
• Rilegatura: Copertina flessibile
• Numero di pagine: 240
• Contatto del produttore: {language_tag:it_IT,value:"Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com"}