Eigenvalues, Embeddings and Generalised Trigonometric Functions

di Jan Lang (Autore)

David E. Edmunds (Autore)

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, 2011

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.

• Autore: Jan Lang, David E. Edmunds
• Editore: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
• Collana: Lecture Notes in Mathematics
• Anno: 2011
• Rilegatura: Paperback / softback
• Pagine: 220 p.
• Dimensioni: 235 x 155 mm
• EAN: 9783642182679

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