拟双曲一致域与弱拟对称映射

刘红军<sup>1</sup>,黄小军<sup>2</sup>,连媛<sup>2</sup>

doi:10.13718/j.cnki.xsxb.2018.08.005

西南师范大学学报(自然科学版)

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拟双曲一致域与弱拟对称映射

刘红军1,黄小军2,连媛2. 拟双曲一致域与弱拟对称映射[J]. 西南师范大学学报(自然科学版), 2018, 43(8): 23-26. doi: 10.13718/j.cnki.xsxb.2018.08.005

引用本文:

刘红军¹,黄小军²,连媛². 拟双曲一致域与弱拟对称映射[J]. 西南师范大学学报(自然科学版), 2018, 43(8): 23-26. doi: 10.13718/j.cnki.xsxb.2018.08.005

LIU Hong-jun1, HUANG Xiao-jun2, LIAN Yuan2. On Quasihyperbolic Uniform Domains and Weak Quasisymmetry Mappings[J]. Journal of Southwest China Normal University(Natural Science Edition), 2018, 43(8): 23-26. doi: 10.13718/j.cnki.xsxb.2018.08.005

Citation:

LIU Hong-jun¹, HUANG Xiao-jun², LIAN Yuan². On Quasihyperbolic Uniform Domains and Weak Quasisymmetry Mappings[J]. Journal of Southwest China Normal University(Natural Science Edition), 2018, 43(8): 23-26. doi: 10.13718/j.cnki.xsxb.2018.08.005

拟双曲一致域与弱拟对称映射

刘红军¹,黄小军²,连媛²

1. 贵州师范大学数学科学学院, 贵阳 550025;
2. 重庆大学数学与统计学院, 重庆 401331

On Quasihyperbolic Uniform Domains and Weak Quasisymmetry Mappings

LIU Hong-jun¹, HUANG Xiao-jun², LIAN Yuan²

1. School of Mathematical Sciences, Guizhou Normal University, Guiyang 550025, China;
2. School of Mathematics and Statistics, Chongqing University, Chongqing 401331, China

摘要: 根据拟双曲一致域和拟对称映射的基本性质，利用拟双曲度量作为研究的重要工具，主要讨论了度量空间中拟双曲一致域的几何性质，同时刻画了拟双曲一致域在弱拟对称映射下仍然是保持不变的.
- 拟双曲度量 /
- 拟双曲一致域 /
- 弱拟对称映射 /
- 不变性
Abstract: Basing on the basic properties of quasihyperbolic uniform domains and quasisymmetric mappings, and using quasihyperbolic metric as main tool to study, the geometries of quasihyperbolic uniform domains in metric spaces have mainly been discussed, and the quasihyperbolic uniform domains invariance properties problem under weak quasisymmetric mappings been depicted.
- quasihyperbolic metric /
- quasihyperbolic uniform domain /
- weak quasisymmetry /
- invariance property .

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