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

David E. Edmunds; Petr Gurka

doi:10.4171/zaa/1407

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
- MathSciNet
- zbMATH Open
Petr Gurka
Czech University of Life Sciences, Prague, Czech Republic
- MathSciNet
- zbMATH Open

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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