Fatou-Bieberbach domains with \(C^ \infty\)-smooth boundary (Q1355872)
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: Fatou-Bieberbach domains with \(C^ \infty\)-smooth boundary |
scientific article; zbMATH DE number 1014529
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fatou-Bieberbach domains with \(C^ \infty\)-smooth boundary |
scientific article; zbMATH DE number 1014529 |
Statements
Fatou-Bieberbach domains with \(C^ \infty\)-smooth boundary (English)
0 references
9 March 1998
0 references
An open domain \(\Omega\) in \(\mathbb{C}^n\) is called a Fatou-Bieberbach domain if \(\Omega\) is a proper subdomain in \(\mathbb{C}^n\) and biholomorphically equivalent to \(\mathbb{C}^n\). The author proves that there exists a Fatou-Bieberbach domain in \(\mathbb{C}^2\) with \(C^\infty\)-smooth boundary.
0 references
Fatou-Bieberbach domain
0 references
