Geodesic
Compact embeddings of Besov spaces involving only slowly varying smoothness
Czechoslovak Mathematical Journal, Tome 61 (2011) no. 4, pp. 923-940

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We characterize compact embeddings of Besov spaces $B^{0,b}_{p,r}(\mathbb {R}^n)$ involving the zero classical smoothness and a slowly varying smoothness $b$ into Lorentz-Karamata spaces $L_{p, q; \bar {b}}(\Omega )$, where $\Omega $ is a bounded domain in $\mathbb {R}^n$ and $\bar {b}$ is another slowly varying function.
DOI : 10.1007/s10587-011-0060-8
Classification : 46E30, 46E35
Keywords: Besov spaces with generalized smoothness; Lorentz-Karamata spaces; compact embeddings 
@article{10_1007_s10587_011_0060_8,
     author = {Caetano, Ant\'onio and Gogatishvili, Amiran and Opic, Bohum{\'\i}r},
     title = {Compact embeddings of {Besov} spaces involving only slowly varying smoothness},
     journal = {Czechoslovak Mathematical Journal},
     pages = {923--940},
     publisher = {mathdoc},
     volume = {61},
     number = {4},
     year = {2011},
     doi = {10.1007/s10587-011-0060-8},
     mrnumber = {2886248},
     zbl = {1249.46026},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1007/s10587-011-0060-8/}
}
TY  - JOUR
AU  - Caetano, António
AU  - Gogatishvili, Amiran
AU  - Opic, Bohumír
TI  - Compact embeddings of Besov spaces involving only slowly varying smoothness
JO  - Czechoslovak Mathematical Journal
PY  - 2011
SP  - 923
EP  - 940
VL  - 61
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1007/s10587-011-0060-8/
DO  - 10.1007/s10587-011-0060-8
LA  - en
ID  - 10_1007_s10587_011_0060_8
ER  - 
%0 Journal Article
%A Caetano, António
%A Gogatishvili, Amiran
%A Opic, Bohumír
%T Compact embeddings of Besov spaces involving only slowly varying smoothness
%J Czechoslovak Mathematical Journal
%D 2011
%P 923-940
%V 61
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1007/s10587-011-0060-8/
%R 10.1007/s10587-011-0060-8
%G en
%F 10_1007_s10587_011_0060_8
Caetano, António; Gogatishvili, Amiran; Opic, Bohumír. Compact embeddings of Besov spaces involving only slowly varying smoothness. Czechoslovak Mathematical Journal, Tome 61 (2011) no. 4, pp. 923-940. doi: 10.1007/s10587-011-0060-8

Cité par Sources :