November 17, 2017

Download Eigenvalues, Embeddings and Generalised Trigonometric by Jan Lang,David E. Edmunds PDF

By Jan Lang,David E. Edmunds

the most subject matter of the booklet is the learn, from the point of view of s-numbers, of essential operators of Hardy kind and comparable Sobolev embeddings. within the idea of s-numbers the assumption is to connect to each bounded linear map among Banach areas a monotone lowering series of non-negative numbers in order to the type of operators in accordance with the way those numbers technique a restrict: approximation numbers supply an extremely vital instance of such numbers. The asymptotic habit of the s-numbers of Hardy operators appearing among Lebesgue areas is set right here in a wide selection of situations. The evidence tools contain the geometry of Banach areas and generalized trigonometric capabilities; there are connections with the speculation of the p-Laplacian.

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