Approximation numbers of Sobolev embeddings of radial functions on isotropic manifolds
Author(s) -
Leszek Skrzypczak,
Bernadeta Tomasz
Publication year - 2007
Publication title -
journal of function spaces
Language(s) - English
Resource type - Journals
eISSN - 2314-8896
pISSN - 2314-8888
DOI - 10.1155/2007/549247
Subject(s) - mathematics , sobolev space , isotropy , pure mathematics , mathematical analysis , sobolev inequality , embedding , rank (graph theory) , combinatorics , physics , quantum mechanics , artificial intelligence , computer science
We regard the compact Sobolev embeddings between Besov and Sobolev spaces of radial functions on noncompact symmetric spaces of rank one. The asymptotic formula for the behaviour of approximation numbers of these embeddings is described
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