SHARPNESS OF EMBEDDINGS IN LOGARITHMIC BESSEL-POTENTIAL SPACES

Citation
De. Edmunds et al., SHARPNESS OF EMBEDDINGS IN LOGARITHMIC BESSEL-POTENTIAL SPACES, Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 126, 1996, pp. 995-1009
Citations number
14
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
ISSN journal
03082105
Volume
126
Year of publication
1996
Part
5
Pages
995 - 1009
Database
ISI
SICI code
0308-2105(1996)126:<995:SOEILB>2.0.ZU;2-A
Abstract
This paper is a continuation of [4], where embeddings of certain logar ithmic Bessel-potential spaces (modelled upon generalised Lorentz-Zygm und spaces) in appropriate Orlicz spaces (with Young functions of sing le and double exponential type) were derived. The aim of this paper is to show that these embedding results are sharp in the sense of [8].