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- Title
A FatouâBieberbach domain in <img src="/fulltext-image.asp?format=htmlnonpaginated&src=J7056586R4382320_html\208_2007_168_Article_IEq1.gif" border="0" alt="$$\mathbb {C}^2$$" /> which is not Runge.
- Authors
Erlend Wold
- Abstract
Abstract  Since a paper by Rosay and Rudin (Trans. Am. Math. Soc. 310, 47â86, 1988) there has been an open question whether all FatouâBieberbach domains are Runge. We give an example of a FatouâBieberbach domain Ω in $$\mathbb {C}^2$$ which is not Runge. The domain Ω provides (yet) a negative answer to a problem of Bremermann.
- Subjects
BIEBERBACH conjecture; FATOU theorems; BOUNDARY value problems; POTENTIAL theory (Mathematics)
- Publication
Mathematische Annalen, 2008, Vol 340, Issue 4, p775
- ISSN
0025-5831
- Publication type
Article