多元复空间中的几个凸域及其关系  

Several convex domains and their relationships in multivariate complex spaces

作　　者：程晓亮[1] 张旭[1] CHENG Xiao-Liang;ZHANG Xu(College of Mathematics,Jilin Normal University,Siping 136000,China)

机构地区：[1]吉林师范大学数学学院,吉林四平136000

出　　处：《吉林师范大学学报（自然科学版）》2018年第2期40-44,共5页Journal of Jilin Normal University:Natural Science Edition

基　　金：国家自然科学基金项目(11301215);吉林省教育厅"十三五"科学计划研究项目(2016212)

摘　　要：凸性是多复变函数论的重要课题,本文讨论了全纯域的等价条件,拟凸与全纯凸的关系,以及拟凸域与凸域的关系,进而引入多复变和复几何里的重要问题——Levi问题.Convexity is an important topic in Several Complex Variables.This paper describes the equivalence of domain of holomorphy,relation between pseudoconvexity and holomorphic convexity,and the relation between pseudocovexity and convexity.This further leads to the Levi problem.

关 键 词：凸集 全纯域 全纯凸 拟凸 Levi问题 

分 类 号：O186[理学—数学]