JournalszaaVol. 29, No. 2pp. 235–250

Entropy Numbers of Limiting Embeddings of Logarithmic Sobolev Spaces into Exponential Spaces

  • David E. Edmunds

    University of Sussex, Brighton, United Kingdom
  • Petr Gurka

    Czech University of Life Sciences, Prague, Czech Republic
Entropy Numbers of Limiting Embeddings of Logarithmic Sobolev Spaces into Exponential Spaces cover
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Abstract

It is known that in certain limiting cases, spaces of Sobolev type modelled upon Zygmund spaces are embedded in Orlicz spaces of exponential type. Estimates of the entropy numbers of such embeddings are studied.

Cite this article

David E. Edmunds, Petr Gurka, Entropy Numbers of Limiting Embeddings of Logarithmic Sobolev Spaces into Exponential Spaces. Z. Anal. Anwend. 29 (2010), no. 2, pp. 235–250

DOI 10.4171/ZAA/1407