拟双曲度量空间中广义反演函数的性质
The Properties of Generalized Inversion Functions in Quasihyperbolic Metric Spaces
杨倩 1梁茜 1刘红军1
作者信息
- 1. 贵州师范大学 数学科学学院,贵州 贵阳 550025
- 折叠
摘要
基于一般度量空间中flattening函数和admission反演函数的概念,在拟双曲度量空间中引入拟对偶的概念,并借助于拟双曲度量作为工具,结合flattening函数和admission反演函数的性质来刻画了拟双曲度量空间中广义反演函数的几何特征.
Abstract
Based on the concepts of flattening function and admission inversion function in general metric space,introduce the concept of a quasiduality in quasihyperbolic metric space,the quasihyperbolic metric is used as a tool,and obtain some geometric characterizations of generalized inversion function for quasihyperbolic metric space in terms of the properties of flattening function and admission inversion function.
关键词
拟双曲度量空间/flattening函数/admission反演函数/拟对偶性Key words
quasihyperbolic metric space/flattening function/admissible inversion function/quasiduality引用本文复制引用
基金项目
贵州省科技计划(黔科合基础[2020]1Y003)
贵州师范大学博士科研启动基金(11904/0517078)
出版年
2024