We establish compact and continuous embeddings for Bessel potential spaces modelled upon generalized Lorentz-Zygmund spaces. The target spaces are either of Lorentz-Zygmund or Hölder type.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm168-3-4, author = {David E. Edmunds and Petr Gurka and Bohum\'\i r Opic}, title = {Compact and continuous embeddings of logarithmic Bessel potential spaces}, journal = {Studia Mathematica}, volume = {166}, year = {2005}, pages = {229-250}, zbl = {1083.46017}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm168-3-4} }
David E. Edmunds; Petr Gurka; Bohumír Opic. Compact and continuous embeddings of logarithmic Bessel potential spaces. Studia Mathematica, Tome 166 (2005) pp. 229-250. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm168-3-4/