Abstract.
We note a sharp embedding of the Besov space \(B^{\infty}_{0,q}({\mathbb{T}})\) 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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In memory of Eduard Belinsky (1947–2004)
Received: 18 March 2008
A.S. was supported in part by the National Science Foundation grant 0652890.
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Seeger, A., Trebels, W. Low regularity classes and entropy numbers. Arch. Math. 92, 147–157 (2009). https://doi.org/10.1007/s00013-008-2802-x
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DOI: https://doi.org/10.1007/s00013-008-2802-x