| 乔 蕾.无限管状区域上次调和函数的边界性质[J].数学年刊A辑,2021,42(2):159~170 |
| 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 |
| Received:January 07, 2020 Revised:December 02, 2020 |
| DOI：10.16205/j.cnki.cama.2021.0013 |
| 中文关键词: 管状区域, 次调和函数, 边界性质 |
| 英文关键词:Tube domain, Subharmonic function, Boundary behavior |
| 基金项目:河南省高等学校青年骨干教师培养计划 (No.,2017GGJS085) 和河南财经政法大学青年拔尖人才项目 |
|
| Hits: 828 |
| Download times: 954 |
| 中文摘要: |
| 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Phragm'{e}n-Lindel"{o}f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. |
| 英文摘要: |
| In this paper, the author mainly studies the boundary properties of subharmonic functions in a tube domain. By proving a new type of Phragm′en-Lindel¨of 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. |
| View Full Text View/Add Comment Download reader |
| Close |
