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/