| Title:
|
The $\bar {\partial }$-Neumann operator on Lipschitz $q$-pseudoconvex domains (English) |
| Author:
|
Saber, Sayed |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
61 |
| Issue:
|
3 |
| Year:
|
2011 |
| Pages:
|
721-731 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
On a bounded $q$-pseudoconvex domain $\Omega $ in $\mathbb {C}^{n}$ with a Lipschitz boundary, we prove that the $\bar {\partial }$-Neumann operator $N$ satisfies a subelliptic $(1/2)$-estimate on $\Omega $ and $N$ can be extended as a bounded operator from Sobolev $(-1/2)$-spaces to Sobolev $(1/2)$-spaces. (English) |
| Keyword:
|
Sobolev estimate |
| Keyword:
|
$\bar \partial $ and $\bar \partial $-Neumann operator |
| Keyword:
|
$q$-pseudoconvex domains |
| Keyword:
|
Lipschitz domains |
| MSC:
|
32F10 |
| MSC:
|
32W05 |
| idZBL:
|
Zbl 1249.32016 |
| idMR:
|
MR2853086 |
| DOI:
|
10.1007/s10587-011-0021-2 |
| . |
| Date available:
|
2011-09-22T14:41:43Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141633 |
| . |
| Reference:
|
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