The $\bar {\partial }$-Neumann operator on Lipschitz $q$-pseudoconvex domains

Title:

The $\bar {\partial }$-Neumann operator on Lipschitz $q$-pseudoconvex domains

Creator:

Saber, Sayed

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:662868d2-1202-4d9a-b7d8-cfb91c10cb06
uuid:662868d2-1202-4d9a-b7d8-cfb91c10cb06

Subject:

Sobolev estimate, $\bar \partial $ and $\bar \partial $-Neumann operator, $q$-pseudoconvex domains, and Lipschitz domains

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

721-731

Source:

Czechoslovak Mathematical Journal | 2011 Volume:61 | Number:3

Harvested from:

CDK

Metadata only:

false