A note on ∂-biLipschitz mappings in quasiconvex metric spaces
A note on ∂-biLipschitz mappings in quasiconvex metric spaces
复制标题
关于拟凸度量空间中的 â-biLipschitz 映射的注释
DOI：
10.1016/j.bulsci.2022.103128
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发表时间：
2022
期刊：
影响因子：
--
通讯作者：
Zhou Qingshan
中科院分区：
文献类型：
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作者：
Guan Tiantian;Ponnusamy Saminathan;Zhou Qingshan
本文重点讨论了Bulter最近引入的∂-biLipschitz映射的性质。我们建立了准凸度量空间中域间的∂-biLipschitz映射类的几个刻画。作为一个应用，我们定量地证明了一致度量空间之间的局部拟对称等价为quasimöbius。
This paper focuses on properties of ∂-biLipschitz mappings which were recently introduced by Bulter. We establish several characterizations for the class of ∂-biLipschitz mappings between domains in quasiconvex metric spaces. As an application, we show that a locally quasisymmetric equivalence between uniform metric spaces is quasimöbius, quantitatively.