[1]李鸿萍.调和映照与调和K-拟共形映照的边界Schwarz引理[J].华侨大学学报(自然科学版),2022,43(2):279-284.[doi:10.11830/ISSN.1000-5013.202011023]
 LI Hongping.Boundary Schwarz Lemma for Harmonic Mappings and Harmonic K-Quasiconformal Mappings[J].Journal of Huaqiao University(Natural Science),2022,43(2):279-284.[doi:10.11830/ISSN.1000-5013.202011023]
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调和映照与调和K-拟共形映照的边界Schwarz引理()
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《华侨大学学报(自然科学版)》[ISSN:1000-5013/CN:35-1079/N]

卷:
第43卷
期数:
2022年第2期
页码:
279-284
栏目:
出版日期:
2022-03-08

文章信息/Info

Title:
Boundary Schwarz Lemma for Harmonic Mappings and Harmonic K-Quasiconformal Mappings
文章编号:
1000-5013(2022)02-0279-06
作者:
李鸿萍
华侨大学 数学科学学院, 福建 泉州 362021
Author(s):
LI Hongping
School of Mathematical Science, Huaqiao University, Quanzhou 362021, China
关键词:
调和映照 拟共形映照 边界Schwardz引理 Poisson积分 第一类椭圆积分
Keywords:
harmonic mappings quasiconformal mappings boundary Schwarz lemma Poisson integral first kind elliptic integral
分类号:
O174.55
DOI:
10.11830/ISSN.1000-5013.202011023
文献标志码:
A
摘要:
建立单位圆盘D上调和映照与调和K-拟共形映照的边界Schwardz引理.进一步地,当K=1时,文中结果与解析函数经典的边界Schwardz引理相一致.
Abstract:
We establish a variant of Schwarz lemma at the boundary for harmonic mappings and harmonic K-quasiconformal mappings of the unit disk D. Furthermore, if K=1, our result coincides with the classical boundary Schwarz lemma for analytic function.

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备注/Memo

备注/Memo:
收稿日期: 2020-11-12
通信作者: 李鸿萍(1979-),女,讲师,主要从事代数及函数论的研究.E-mail:lhp306@hqu.edu.cn.
基金项目: 国家自然科学基金面上资助项目(11971182); 福建省自然科学基金面上资助项目(20191ZB032)
更新日期/Last Update: 2022-03-20