Archiv der Mathematik

, Volume 92, Issue 2, pp 147-157

First online:

Open Access This content is freely available online to anyone, anywhere at any time.

Low regularity classes and entropy numbers

  • Andreas SeegerAffiliated withDepartment of Mathematics, University of Wisconsin Email author 
  • , Walter TrebelsAffiliated withFachbereich Mathematik, Technische Universität Darmstadt


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.

Mathematics Subject Classification (2000).

Primary 46E35 Secondary 42B35


Besov spaces exponential classes imbeddings growth envelopes Kashin-Temlyakov classes entropy numbers