Forelli定理的应用及其推广  

Application and Extension of Forelli Theorem

作　　者：林美容[1] 高晓曼 LIN Mei-rong;GAO Xiao-man(Department of Foundational Education,Fuzhou University of International Studies and Trade,Fuzhou 350202,China;College of Mathmatics and Information Science,Fujian Normal University,Fuzhou 350117,China)

机构地区：[1]福州外语外贸学院公共教学部,福建福州350202 [2]福建师范大学数学与信息学院,福建福州350117

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2020年第4期339-341,352,共4页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11371225);福建省中青年教师教育科研资助项目(JT180686)。

摘　　要：证明了关于ρ-调和函数的Forelli定理,以及赋予Bergman型度量的单位球到一维黎曼流形的调和映射的Forelli定理。In this paper,we proved the Forelli's theorem with respect toρ-harmonic functions.Furthermore,we considered the Forelli's theorem for a map from the unit ball with Bergman type metric to a one dimensional Riemannian manifold.

关 键 词：Forelli定理 Bergman型度量 调和映射 

分 类 号：O174.52[理学—数学]