An extension of H. Cartan's theorem

Authors:
So-chin Chen and Shih-Biau Jang

Journal:
Proc. Amer. Math. Soc. **127** (1999), 2265-2271

MSC (1991):
Primary 32M05

Published electronically:
March 23, 1999

MathSciNet review:
1618717

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Abstract | References | Similar Articles | Additional Information

Abstract: In this article we prove that if , , is a bounded pseudoconvex domain with real analytic boundary, then for each , there exists a fixed open neighborhood of and an open neighborhood of in such that any can be extended holomorphically to , and that the action defined by

is real analytic in joint variables. This extends H. Cartan's theorem beyond the boundary. Some applications are also discussed here.

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Additional Information

**So-chin Chen**

Affiliation:
Department of Mathematics, National Tsing Hua University, Hsinchu, Taiwan, Republic of China

**Shih-Biau Jang**

Affiliation:
Department of Mathematics, National Tsing Hua University, Hsinchu, Taiwan, Republic of China

DOI:
http://dx.doi.org/10.1090/S0002-9939-99-04953-9

Keywords:
Automorphism group,
pseudoconvex domains,
condition $R$

Received by editor(s):
October 21, 1997

Published electronically:
March 23, 1999

Additional Notes:
Both authors are partially supported by a grant NSC 85-2121-M-007-028 from the National Science Council of the Republic of China.

Communicated by:
Steven R. Bell

Article copyright:
© Copyright 1999
American Mathematical Society