This paper is a continuation of [5] and provides necessary and sufficient conditions for double exponential integrability of the Bessel potential of functions from suitable (generalized) Lorentz-Zygmund spaces. These results are used to establish embedding theorems for Bessel potential spaces which extend Trudinger's result.
@article{bwmeta1.element.bwnjournal-article-smv115i2p151bwm,
author = {David Edmunds and Petr Gurka and Bohum\'\i r Opic},
title = {Double exponential integrability, Bessel potentials and embedding theorems},
journal = {Studia Mathematica},
volume = {113},
year = {1995},
pages = {151-181},
zbl = {0829.47024},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv115i2p151bwm}
}
Edmunds, David; Gurka, Petr; Opic, Bohumír. Double exponential integrability, Bessel potentials and embedding theorems. Studia Mathematica, Tome 113 (1995) pp. 151-181. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv115i2p151bwm/
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