Bulletin of the Korean Mathematical Society (대한수학회보)
- Volume 32 Issue 2
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- Pages.259-263
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- 1995
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- 1015-8634(pISSN)
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- 2234-3016(eISSN)
APPROXIMATION BY HOLOMORPHIC FUNCTIONS ON PSEUDOCONVEX COMPLEX MANIFOLDS
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Lee, Jinkee
(Department of Mathematics, Pusan National University, Pusan 609-735) ;
- Cho, Hong-Rae (Department of Mathematics, Pusan National University, Pusan 609-735)
- Published : 1995.08.01
Abstract
The following classical Oka-Weil approximation theorem on pseudoconvex domains in $C^n$ is well-known. Suppose that $M \subseteq C^n$ is pseudoconvex and that K is a compact subset of M with K = K, where K is the usual holomorphic hull of K in M. Then any function holomorphic in a neighborhood of K can be approximated uniformly on K by functions holomorphic on M (see [5], [6]).
Keywords
- pesudoconvex manifold;
- $\partial$-estimate;
- compact analytic variety;
- OkaWeil approximation theorem.