Low regularity classes and entropy numbers

. We note a sharp embedding of the Besov space into exponential classes and prove entropy estimates for the compact embedding of subclasses with logarithmic smoothness, considered by Kashin and Temlyakov.

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Bibliographic Details
Published in:Archiv der Mathematik 2009-02, Vol.92 (2), p.147-157
Main Authors: Seeger, Andreas, Trebels, Walter
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Description
Summary:. We note a sharp embedding of the Besov space into exponential classes and prove entropy estimates for the compact embedding of subclasses with logarithmic smoothness, considered by Kashin and Temlyakov.
ISSN:0003-889X
1420-8938
DOI:10.1007/s00013-008-2802-x