[1]孙乾乾,陈行堤,胡春英.(-overα)-调和映照的正规性[J].华侨大学学报(自然科学版),2020,41(3):394-399.[doi:10.11830/ISSN.1000-5013.201911065]
　SUN Qianqian,CHEN Xingdi,HU Chunying.Normal(-overα)-Harmonic Mappings[J].Journal of Huaqiao University(Natural Science),2020,41(3):394-399.[doi:10.11830/ISSN.1000-5013.201911065]
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(-overα)-调和映照的正规性()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第41卷
期数:
2020年第3期
页码:
394-399
栏目:
出版日期:
2020-05-20

文章信息/Info

Title:
Normal(-overα)-Harmonic Mappings
文章编号:
1000-5013(2020)03-0394-06
作者:
孙乾乾;  陈行堤;  胡春英
华侨大学 数学科学学院, 福建 泉州 362021
Author(s):
SUN Qianqian;  CHEN Xingdi;  HU Chunying
School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China
关键词:
(-overα)-调和映照;  正规映照;  线性连结;  Bloch空间
Keywords:
(-overα)-harmonic mappings;  normal mappings;  linearly connected domains;  Bloch functions
分类号:
O174.55
DOI:
10.11830/ISSN.1000-5013.201911065
文献标志码:
A
摘要:
研究(-overα)-调和映照正规性判别条件.利用Bloch函数,结合预Schwarz导数与线性连结几何特征给出正规(-overα)-调和映照的两个判别定理.
Abstract:
We study some criterions of normality for(-overα)-harmonic mappings. By the properties of Bloch functions, the estimate of pre-Schwarz derivative of analytic functions and geometric characterization of linearly connected domain, we give two sufficient conditions for determining whether an(-overα)-harmonic mapping is normal.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期: 2019-11-29
通信作者: 陈行堤(1976-),男,教授,博士,主要从事单复变函数的研究.E-mail:chxtt@hqu.edu.cn.
基金项目: 国家自然科学基金资助项目(11971182); 福建省自然科学基金资助项目(2019J01066); 福建省研究生导师团队建设专项(411-50619001); 华侨大学研究生科研创新能力培育计划资助项目(18013070012)
更新日期/Last Update: 2020-05-20