多重调和映射的同向两点Schwarz引理及应用  

Same Direction Two-Point Schwarz Lemma for Pluriharmonic Mappings and Application

作　　者：李俊 陈铭新 王建飞 LI Jun;CHEN Mingxin;WANG Jianfei(School of Mathematical Sciences,Huaqiao University,Quanzhou 362021,China)

机构地区：[1]华侨大学数学科学学院,福建泉州362021

出　　处：《华侨大学学报（自然科学版）》2023年第2期264-268,共5页Journal of Huaqiao University(Natural Science)

基　　金：国家自然科学基金资助项目(12071161);福建省自然科学基金资助项目(2020J01073)。

摘　　要：建立单位圆盘D到单位球B^(N)上调和映射的同向两点Schwarz引理,给出高维单位球之间的多重调和映射的同向两点Schwarz引理,并将单位圆盘调和映射的Pavlovic的结果推广到高维多重调和映射.作为应用,得到单位球上多重调和函数的边界Schwarz引理.Establish the same direction two-point Schwarz lemma for harmonic mappings from unit disk D to the unit ball B^(N), the same direction two-point Schwarz lemma for pluriharmonic mappings between high-dimensional unit balls is given, and Pavlovic′s result of harmonic mappings on the unit disk is extended to high-dimensional pluriharmonic mappings. As an application, the boundary Schwarz lemma of pluriharmonic functions on the unit ball is obtained.

关 键 词：调和映射 多重调和映射 SCHWARZ引理 边界Schwarz引理 

分 类 号：O174.5[理学—数学]