6,082 research outputs found

    Weyl Numbers of Embeddings of Tensor Product Besov Spaces

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    In this paper we investigate the asymptotic behaviour of Weyl numbers of embeddings of tensor product Besov spaces into Lebesgue spaces. These results will be compared with the known behaviour of entropy numbers.Comment: 54 pages, 2 figure

    Bernstein Numbers of Embeddings of Isotropic and Dominating Mixed Besov Spaces

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    The purpose of the present paper is to investigate the decay of Bernstein numbers of the embedding from Bp1,qt((0,1)d)B^t_{p_1,q}((0,1)^d) into the space Lp2((0,1)d)L_{p_2}((0,1)^d) . The asymptotic behaviour of Bernstein numbers of the identity id:Sp1,p1tB((0,1)d)β†’Lp2((0,1)d)id: S_{p_1,p_1}^tB((0,1)^d)\rightarrow L_{p_2}((0,1)^d) will be also considered.Comment: 31 pages, 1 figur
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