调和γ-正规映射和调和γ-正规型映射

  • 乔金静 ,
  • 翟小雨
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乔金静(1980—),女,河北保定人,河北大学副教授,博士,主要从事复分析研究. E-mail:mathqiao@126.com

收稿日期: 2019-05-20

  网络出版日期: 2020-03-25

基金资助

河北省自然科学基金资助项目(A2018201033)

Harmonic γ-normal mappings and harmonic γ-normal-type mappings

  • QIAO Jinjing ,
  • ZHAI Xiaoyu
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  • College of Mathematics and Information Sciences, Hebei University, Baoding 071002, China

Received date: 2019-05-20

  Online published: 2020-03-25

摘要

作为调和γ-Bloch映射和调和γ-Bloch型映射的推广,研究了调和γ-正规映射和调和γ-正规型映射,讨论了这2类调和映射的如下性质:仿射不变性、线性不变性、包含关系、与局部一致单叶调和映射的关系以及从属原则.

本文引用格式

乔金静 , 翟小雨 . 调和γ-正规映射和调和γ-正规型映射[J]. 河北大学学报(自然科学版), 2020 , 40(2) : 119 -124 . DOI: 10.3969/j.issn.1000-1565.2020.02.002

Abstract

Harmonic γ-normal mappings and harmonic γ-normal-type mappings are investigated.They are generalizations of harmonic γ-Bloch mappings and harmonic γ-Bloch-type mappings,respectively.The following properties are discussed: affine invariance,linear invariance,inclusion relations,relations with uniformly locally univalent harmonic mappings and subordination principle.

参考文献

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