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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A Fatou-Bieberbach domain intersecting the plane in the unit disk


Author: Erlend Fornæss Wold
Journal: Proc. Amer. Math. Soc. 140 (2012), 4205-4208
MSC (2010): Primary 32E30, 32H02
Published electronically: April 4, 2012
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Abstract: We construct a Fatou-Bieberbach domain $ \Omega $ in $ \mathbb{C}^2=\mathbb{C}_z\times \mathbb{C}_w$ such that one of the connected components of $ \Omega \cap \mathbb{C}_z$ is the unit disk $ \mathbb{D}_z\subset \mathbb{C}_z$.


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Erlend Fornæss Wold
Affiliation: Matematisk Institutt, Universitetet i Oslo, Postboks 1053 Blindern, 0316 Oslo, Norway
Email: erlendfw@math.uio.no

DOI: http://dx.doi.org/10.1090/S0002-9939-2012-11267-5
PII: S 0002-9939(2012)11267-5
Received by editor(s): May 18, 2011
Received by editor(s) in revised form: May 20, 2011
Published electronically: April 4, 2012
Communicated by: Franc Forstneric
Article copyright: © Copyright 2012 American Mathematical Society