, Volume 92, Issue 2, pp 147-157,
Open Access This content is freely available online to anyone, anywhere at any time.
Date: 11 Feb 2009

Low regularity classes and entropy numbers

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.

Received: 18 March 2008
In memory of Eduard Belinsky (1947–2004)
A.S. was supported in part by the National Science Foundation grant 0652890.