Titel: Eigenvalues, Embeddings and Generalised Trigonometric Functions (Lecture Notes in Mathematics, Vol. 2016)
Verlag: Springer
Ver�ffentlichungsdatum: 2011
Sprache: Englisch
ISBN-10: 3642182674
ISBN-13: 9783642182679
Bindung: Softcover
Zustand: New

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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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