无限管状区域上次调和函数的边界性质  

Boundary Behaviors of Subharmonic Functions in an Infinite Tube Domain

作　　者：乔蕾 QIAO Lei(School of Mathematics and Information Science,Henan University of Eco-nomics and Law,Zhengzhou 450046,China)

机构地区：[1]河南财经政法大学数学与信息科学学院,郑州450046

出　　处：《数学年刊（A辑）》2021年第2期159-170,共12页Chinese Annals of Mathematics

基　　金：河南省高等学校青年骨干教师培养计划(No.2017GGJS085);河南财经政法大学青年拔尖人才项目的资助.

摘　　要：作者刻画了定义在无限管状区域中次调和函数的边界性质.通过证明一类新型的Phragmen-Lindelof定理,不仅得到了与之相关最大模极限的存在性定理,而且还得到了其具体的表达式.In this paper,the author mainly studies the boundary properties of subharmonic functions in a tube domain.By proving a new type of Phragmen-Lindelof principle,the author not only prove the existence of the limits with respect to the maximum modulus of subharmonic functions in an infinite tube domain but also obtain the specific expressions of them.

关 键 词：管状区域 次调和函数 边界性质 

分 类 号：O174.5[理学—数学]