Local \(L^ p\) estimate for the solution of \(\overline{\partial}\)-Neumann problem over \(D_ t=\{(w,z)\): \(\text{Re }w\leq {{| z^ m-tw|^ 2} \over m}\}\) (Q1310522)
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: Local \(L^ p\) estimate for the solution of \(\overline{\partial}\)-Neumann problem over \(D_ t=\{(w,z)\): \(\text{Re }w\leq {{| z^ m-tw|^ 2} \over m}\}\) |
scientific article; zbMATH DE number 482128
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Local \(L^ p\) estimate for the solution of \(\overline{\partial}\)-Neumann problem over \(D_ t=\{(w,z)\): \(\text{Re }w\leq {{| z^ m-tw|^ 2} \over m}\}\) |
scientific article; zbMATH DE number 482128 |
Statements
Local \(L^ p\) estimate for the solution of \(\overline{\partial}\)-Neumann problem over \(D_ t=\{(w,z)\): \(\text{Re }w\leq {{| z^ m-tw|^ 2} \over m}\}\) (English)
0 references
1993
0 references
The authors study canonical solutions to the \(\overline {\partial}\)- problem on a domain of the form \(\{ (w,z)\in \mathbb{C}^ 2\): \(\text{Re } w\leq {1\over m} | z^ m- tw|^ 2\}\). Nearly optimal Sobolev type estimates, with a loss of \(\varepsilon\) from the expected sharp result, are proved.
0 references
\(L^ p\) estimate
0 references
0.8276320695877075
0 references
0.8276320695877075
0 references
0.8007537722587585
0 references
0.7990748882293701
0 references
