A note on $\partial$-bilipschitz mappings in quasiconvex metric spaces
Complex Variables
2022-02-16 v1
Abstract
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 quasim\"obius, quantitatively.
Keywords
Cite
@article{arxiv.2202.07505,
title = {A note on $\partial$-bilipschitz mappings in quasiconvex metric spaces},
author = {Tiantian Guan and Saminathan Ponnusamy and Qingshan Zhou},
journal= {arXiv preprint arXiv:2202.07505},
year = {2022}
}
Comments
17 pages; To appear in Bulletin des sciences math\'ematiques