| Title:
|
Compact embeddings of Besov spaces involving only slowly varying smoothness (English) |
| Author:
|
Caetano, António |
| Author:
|
Gogatishvili, Amiran |
| Author:
|
Opic, Bohumír |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
61 |
| Issue:
|
4 |
| Year:
|
2011 |
| Pages:
|
923-940 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
Besov spaces with generalized smoothness |
| Keyword:
|
Lorentz-Karamata spaces |
| Keyword:
|
compact embeddings |
| MSC:
|
46E30 |
| MSC:
|
46E35 |
| idZBL:
|
Zbl 1249.46026 |
| idMR:
|
MR2886248 |
| DOI:
|
10.1007/s10587-011-0060-8 |
| . |
| Date available:
|
2011-12-16T15:38:55Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141798 |
| . |
| Reference:
|
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