Sobolev embedding in \(\mathbb{C}^ n\) and the \(\bar \partial\)-equation (Q1177611)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Sobolev embedding in \(\mathbb{C}^ n\) and the \(\bar \partial\)-equation |
scientific article; zbMATH DE number 20753
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sobolev embedding in \(\mathbb{C}^ n\) and the \(\bar \partial\)-equation |
scientific article; zbMATH DE number 20753 |
Statements
Sobolev embedding in \(\mathbb{C}^ n\) and the \(\bar \partial\)-equation (English)
0 references
26 June 1992
0 references
This work concerns a Sobolev embedding theorem for the \(\overline\partial\) operator. The authors give sufficient conditions on \(s\) so that the equation \(\overline\partial u=f\) has a solution \(u\in L^ p(\Omega)\) when \(f\) belongs to \(H^ s(\Omega)\cap L^ p(\Omega)\).
0 references
\(\overline\partial\)-equation
0 references
Sobolev embedding
0 references
0 references
0 references
0 references
