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Proceedings of the American Mathematical Society

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On the Mergelyan approximation property
on pseudoconvex domains in $\mathbb{C}^{n}$

Author: Sanghyun Cho
Journal: Proc. Amer. Math. Soc. 126 (1998), 2285-2289
MSC (1991): Primary 32F20, 32H40
MathSciNet review: 1459114
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Abstract: Let $\Omega $ be a smoothly bounded pseudoconvex domain of finite type in $\mathbb{C}^{n}$. We prove the Mergelyan approximation property in various topologies on $\Omega $ when the estimates for $\overline{\partial }$-equation are known in the corresponding topologies.

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Sanghyun Cho
Affiliation: Department of Mathematics, Sogang University, C.P.O. Box 1142, Seoul 121-742, Korea

Keywords: Mergelyan property, Lipschitz continuity, finite 1-type
Received by editor(s): January 7, 1997
Additional Notes: The author was partially supported by Basic Sci. Res. fund BSRI-97-1411, and by GARC-KOSEF, 1997.
Communicated by: Steven R. Bell
Article copyright: © Copyright 1998 American Mathematical Society