Archiv der Mathematik

, Volume 92, Issue 2, pp 147–157

Low regularity classes and entropy numbers

Open AccessArticle

DOI: 10.1007/s00013-008-2802-x

Cite this article as:
Seeger, A. & Trebels, W. Arch. Math. (2009) 92: 147. doi:10.1007/s00013-008-2802-x


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 46E35Secondary 42B35


Besov spacesexponential classesimbeddingsgrowth envelopesKashin-Temlyakov classesentropy numbers
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© Birkhäuser Verlag Basel/Switzerland 2009

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of WisconsinMadisonUSA
  2. 2.Fachbereich MathematikTechnische Universität DarmstadtDarmstadtGermany