Title: Holomorphic approximation and holomorphic convexity on pseudoconvex complex manifolds
Abstract: Let Ω be a complex submanifold with C 3 pseudoconvex boundary such that there is a function λ∊C 3 which is strongly plurisubharmonic in a neighborhood of the boundary of Ω. We prove the Oka-Weil approximation theorem on Ω. Also we show that Ω is holomorphically convex and that the plurisubharmonic hull and the holomorphic hull coincide for Ω. The methods of proof of the above results rely on the elementary -estimates introduced by Hörmander ([2], [3])
Publication Year: 1997
Publication Date: 1997-11-01
Language: en
Type: article
Indexed In: ['crossref']
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