Result: On Fatou-Bieberbach domains
Title:
On Fatou-Bieberbach domains
Authors:
Source:
Mathematische Zeitschrift. 229:91-106
Publisher Information:
Springer Science and Business Media LLC, 1998.
Publication Year:
1998
Subject Terms:
Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables, Special domains in \({\mathbb C}^n\) (Reinhardt, Hartogs, circular, tube), Entire functions of several complex variables, 0103 physical sciences, Fatou-Bieberbach domain, complex line, 0101 mathematics, 01 natural sciences, components
Document Type:
Academic journal
Article
File Description:
application/xml
Language:
English
ISSN:
0025-5874
DOI:
10.1007/pl00004653
Access URL:
Rights:
Springer TDM
Accession Number:
edsair.doi.dedup.....714e1df4cc0b1da9f54d7c47b0ebc36c
Database:
OpenAIRE
Further Information
A Fatou-Bieberbach domain is a domain in \(\mathbb{C}^2\) which is the biholomorphic image of \(\mathbb{C}^2\) but is not all of \(\mathbb{C}^2\). Such domains have been known for some time, but many questions regarding their geometry remain open. Let \(\Delta\) be the unit disc in \(\mathbb{C}\) and let \(Q\subset\mathbb{C}\) be a bounded open set with \(C^1\) boundary and connected complement. Let \(0