The Levi problem for complex spaces
The Levi problem for complex spaces
复制标题
DOI：
10.1007/bf01451029
复制
发表时间：
1961-08
影响因子：
1.4
通讯作者：
R. Narasimhan
中科院分区：
文献类型：
--
作者：
R. Narasimhan
令 D 为空间 C'o] n 复变量中的域。那么 D 是一个域 o] 全纯 i/且只有 i] 是伪凸。OKA 还表明，当且仅当存在一个多次调和函数时，域 D 是伪凸的，该函数可以局部表示为有限多个二次可微的多次调和函数的最大值，并且在 D 的边界处趋于无穷大。我们的目的是证明以下 Oka 定理向复空间的扩展。
Let D be a domain in the space C'o] n complex variables. Then D is a domain o] holomorphy i/and only i] it is pseitdoconvex.OKA also showed that domain D is pseudoconvex if and only if there exists a plurisubharmonie function, which cart be expressed locally as the maximum of finitely many twice-differentiable plurisubharmonic functions, and which tends to infinity at the boundary of D. Our aim is to present a proof of the following extension of Oka's theorem to complex spaces.