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Low regularity classes and entropy numbers

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arxiv math/0703067 v1 pith:QFXHTTFL submitted 2007-03-02 math.CA

Low regularity classes and entropy numbers

classification math.CA
keywords classesembeddingentropybesovcompactconsideredestimatesexponential
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We note a sharp embedding of the Besov space $B^\infty_{0,q}(\bbT)$ 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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