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

 

Action of the automorphisms of a smooth domain in $ {\bf C}\sp n$


Author: Eric Bedford
Journal: Proc. Amer. Math. Soc. 93 (1985), 232-234
MSC: Primary 32H10; Secondary 32H99
MathSciNet review: 770527
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Abstract: A transformation rule relating the Bergman projection and an element of the Lie algebra of $ \operatorname{Aut}(\Omega )$ is given, and this is used to give a proof that the action of $ \operatorname{Aut}(\Omega )$ extends smoothly to $ \bar \Omega $.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1985-0770527-3
PII: S 0002-9939(1985)0770527-3
Article copyright: © Copyright 1985 American Mathematical Society