Optimality of embeddings of logarithmic Bessel potential spaces

Authors
Edmunds, DE Gurka, P Opic, B
Citation
De. Edmunds et al., Optimality of embeddings of logarithmic Bessel potential spaces, Q J MATH, 51, 2000, pp. 185-209
Citations number
16
Categorie Soggetti
Mathematics
Journal title
QUARTERLY JOURNAL OF MATHEMATICS
ISSN journal
00335606 → ACNP
Volume
51
Year of publication
2000
Part
2
Pages
185 - 209
Database
ISI
SICI code
0033-5606(200006)51:<185:OOEOLB>2.0.ZU;2-M
Abstract
We establish the sharpness of recently-obtained embedding theorems for cert ain logarithmic Bessel potential spaces modelled upon generalized Lorentz-Z ygmund (GLZ) spaces. The target spaces may be of GLZ or Holder type, includ ing in particular spaces of 'almost Lipschitz' type familiar from the work of Brezis and Wainger.