拟双曲一致域与弱拟对称映射  

On Quasihyperbolic Uniform Domains and Weak Quasisymmetry Mappings

作　　者：刘红军 黄小军[2] 连媛 LIU Hong-jun;HUANG Xiao-jun;LIAN Yuan(School of Mathematical Sciences,Guizhou Normal University,Guiyang 550025,China;School of Mathematics and Statistics,Chongqing University,Chongqing 401331,China)

机构地区：[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

出　　处：《西南师范大学学报（自然科学版）》2018年第8期23-26,共4页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：贵州师范大学博士科研启动基金(11904/0517078);国家自然科学基金项目(11671057)

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.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.

关 键 词：拟双曲度量 拟双曲一致域 弱拟对称映射 不变性 

分 类 号：O174.55[理学—数学]