拟凸度量空间中的自由拟共形映射

数学物理学报 ›› 2024, Vol. 44 ›› Issue (5): 1127-1135.

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拟凸度量空间中的自由拟共形映射

柴孟岑(),代玉霞^*()

湖北大学数学与统计学学院 & 应用数学湖北省重点实验室武汉 430062

收稿日期:2022-12-26 修回日期:2024-03-06 出版日期:2024-10-26 发布日期:2024-10-16
通讯作者: *代玉霞, E-mail: daiyuxia8173@163.com
作者简介:柴孟岑, E-mail: Chaimengcen@163.com
基金资助:
国家自然科学基金(11301162);湖北省教育厅资助项目(D20211005)

Freely Quasiconformal Mappings in Quasiconvex Metric Spaces

Chai Mengcen(),Dai Yuxia^*()

Faculty of Mathematics and Statistic, Hubei University & Hubei Key Laboratory of Applied Mathematics, Wuhan 430062

Received:2022-12-26 Revised:2024-03-06 Online:2024-10-26 Published:2024-10-16
Supported by:
NSFC(11301162);Hubei Provincial Department of Education(D20211005)

摘要/Abstract

摘要：

该文研究拟凸度量空间中的自由拟共形映射. 证明了拟凸度量空间中自由拟共形映射和粗的拟双曲映射是等价的, 并得到了拟凸度量空间中自由拟共形映射的拟对称性质.

关键词: 拟双曲度量, 自由拟共形映射, 拟对称映射

Abstract:

In this paper, we study freely quasiconformal mappings in quasiconvex metric spaces. It is proved that freely quasiconformal mappings and rough quasihyperbolic mappings in quasiconvex metric spaces are equivalent, and the quasisymmetric properties of freely quasiconformal mapping in quasiconvex metric spaces are obtained.

Key words: Quasihyperbolic distance, Freely quasiconformal mapping, Quasisymmetric mapping

中图分类号:

O177.99

柴孟岑, 代玉霞. 拟凸度量空间中的自由拟共形映射[J]. 数学物理学报, 2024, 44(5): 1127-1135.

Chai Mengcen, Dai Yuxia. Freely Quasiconformal Mappings in Quasiconvex Metric Spaces[J]. Acta mathematica scientia,Series A, 2024, 44(5): 1127-1135.

参考文献 11

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拟凸度量空间中的自由拟共形映射

Freely Quasiconformal Mappings in Quasiconvex Metric Spaces

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