论文标题

关于$ \ partial $ -bilipschitz映射的注释

A note on $\partial$-bilipschitz mappings in quasiconvex metric spaces

论文作者

Guan, Tiantian, Ponnusamy, Saminathan, Zhou, Qingshan

论文摘要

本文重点介绍了\ partial-bilipschitz映射的属性,这些映射最近由Bulter引入。我们为准公路范围的域之间的\ partial-bilipschitz映射类别建立了几个特征。作为一种应用,我们表明统一度量空间之间的局部准对称等效性是Quasimöbius,是定量的。

This paper focuses on properties of \partial-biLipschitz mappings which were recently introduced by Bulter. We establish several characterizations for the class of \partial-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.

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