Compact embeddings of Brézis-Wainger type

  • Fernando Cobos

    Universidad Complutense de Madrid, Spain
  • Thomas Kühn

    Universität Leipzig, Germany
  • Tomas Schonbek

    Florida Atlantic University, Boca Raton, USA


Let be a bounded domain in and denote by the restriction operator from the Besov space into the generalized Lipschitz space . We study the sequence of entropy numbers of this operator and prove that, up to logarithmic factors, it behaves asymptotically like if . Our estimates improve previous results by Edmunds and Haroske.

Cite this article

Fernando Cobos, Thomas Kühn, Tomas Schonbek, Compact embeddings of Brézis-Wainger type. Rev. Mat. Iberoam. 22 (2006), no. 1, pp. 305–322

DOI 10.4171/RMI/457