首页   按字顺浏览 期刊浏览 卷期浏览 Holomorphic approximation and holomorphic convexity on pseudoconvex complex manifolds*
Holomorphic approximation and holomorphic convexity on pseudoconvex complex manifolds*

 

作者: Hong Rae Cho,  

 

期刊: Complex Variables, Theory and Application: An International Journal  （Taylor Available online 1997）
卷期: Volume 34, issue 3  

页码: 313-323

 

ISSN:0278-1077

 

年代: 1997

 

DOI:10.1080/17476939708815055

 

出版商: Gordon and Breach Science Publishers

 

关键词: holomorphic functions;pseudoconvex domains;plurisubharmonic functions Oka-Weil approximation;AMS No. 32E20;AMS No. 32F20

 

数据来源: Taylor

 

摘要:

Let Ω be a complex submanifold withC3pseudoconvex boundary such that there is a function λεC3which 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])

 

点击下载:  PDF (344KB)



返 回