Stensönes, Berit Fatou-Bieberbach domains with \(C^ \infty\)-smooth boundary. (English) Zbl 0883.32020 Ann. Math. (2) 145, No. 2, 365-377 (1997). 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. Reviewer: Z.Ye (DeKalb) Cited in 1 ReviewCited in 16 Documents MSC: 32H02 Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables Keywords:Fatou-Bieberbach domain PDF BibTeX XML Cite \textit{B. Stensönes}, Ann. Math. (2) 145, No. 2, 365--377 (1997; Zbl 0883.32020) Full Text: DOI OpenURL