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Wir sind gerne für Sie daThe 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.
Produkteigenschaften
- Artikelnummer: 9783642182679
- Medium: Buch
- ISBN: 978-3-642-18267-9
- Verlag: Springer
- Erscheinungstermin: 30.04.2011
- Sprache(n): Englisch
- Auflage: 1. Auflage 2011
- Serie: Lecture Notes in Mathematics
- Produktform: Kartoniert
- Gewicht: 373 g
- Seiten: 220
- Format (B x H): 155 x 235 mm
- Ausgabetyp: Kein, Unbekannt