调和映射的Schwarz导数与对数导数的新定义及其范数  

New definitions of Pre-Schwarzian and Schwarzian derivatives and its norm of harmonic mappings in the plan

作　　者：谭俊键 杨敏 TAN Junjian;YANG Min(School of Mathematic and Information,China West Normal University,Nanchong,Sichuan 637000,China)

机构地区：[1]西华师范大学数学与信息学院,四川南充637000

出　　处：《贵州师范大学学报（自然科学版）》2022年第3期13-17,共5页Journal of Guizhou Normal University：Natural Sciences

基　　金：国家自然科学基金(11701459);西华师范大学科研启动基金(17E088)。

摘　　要：借助能量密度|f_(z)|+t|f_(z)|,t∈[-1,1]对单连通区域上的局部单叶调和映射分别给出了Schwarz导数和对数导数的新定义,并在新定义下对它们的范数进行了研究。With the help of energy density|f_(z)|+t|f_(z)|,t∈[-1,1],new definitions of Schwarz derivative and logarithmic derivative are given for the local unilobe harmonic mapping on a singly connected region,and their norms are studied under the new definition.

关 键 词：SCHWARZ导数 对数导数 调和映射 Schwarz导数范数 对数导数范数 

分 类 号：O174.5[理学—数学]