Compact embeddings of Brézis-Wainger type
Fernando CobosUniversidad Complutense de Madrid, Spain
Thomas KühnUniversität Leipzig, Germany
Tomas SchonbekFlorida 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. 305–322DOI 10.4171/RMI/457