In our recent paper [Compact and continuous embeddings of logarithmic Bessel potential spaces. Studia Math.~168 (2005), 229 -- 250] we have proved an embedding of a logarithmic Bessel potential space with order of smoothness less than one into a space of -H\"older-continuous functions. We show that such an embedding is not compact and that it is sharp.
Cite this article
David E. Edmunds, Petr Gurka, Bohumír Opic, Non-Compact and Sharp Embeddings of Logarithmic Bessel Potential Spaces into Hölder-Type Spaces. Z. Anal. Anwend. 25 (2006), no. 1, pp. 73–80DOI 10.4171/ZAA/1278