| Title:
|
A generalization to the Hardy-Sobolev spaces $H^{k,p}$ of an $L^p$-$L^1$ logarithmic type estimate (English) |
| Author:
|
Feki, Imed |
| Author:
|
Massoudi, Ameni |
| Author:
|
Nfata, Houda |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
68 |
| Issue:
|
2 |
| Year:
|
2018 |
| Pages:
|
387-414 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The main purpose of this article is to give a generalization of the logarithmic-type estimate in the Hardy-Sobolev spaces $H^{k,p}(G)$; $k \in {\mathbb N}^*$, $1 \leq p \leq \infty $ and $G$ is the open unit disk or the annulus of the complex space $\mathbb C$. (English) |
| Keyword:
|
annular domain |
| Keyword:
|
Poisson kernel |
| Keyword:
|
Hardy-Sobolev space |
| Keyword:
|
logarithmic estimate |
| MSC:
|
30C40 |
| MSC:
|
30H10 |
| MSC:
|
35R30 |
| idZBL:
|
Zbl 06890379 |
| idMR:
|
MR3819180 |
| DOI:
|
10.21136/CMJ.2018.0466-16 |
| . |
| Date available:
|
2018-06-11T10:52:58Z |
| Last updated:
|
2020-07-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147225 |
| . |
| Reference:
|
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