Non-Compact and Sharp Embeddings of Logarithmic Bessel Potential Spaces into Hölder-Type Spaces
David E. Edmunds
University of Sussex, Brighton, United KingdomPetr Gurka
Czech University of Life Sciences, Prague, Czech RepublicBohumír Opic
Czech Academy of Sciences, Prague, Czech Republic
Abstract
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 -Hölder-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. 73–80
DOI 10.4171/ZAA/1278