3 papers
math.CV2022
A note on -bilipschitz mappings in quasiconvex metric spaces
Tiantian Guan, Saminathan Ponnusamy, Qingshan Zhou
This paper focuses on properties of \partial-biLipschitz mappings which were recently introduced by Bulter. We establish several characterizations for the class of \partial-biLipsc…
math.CV2021
Pommerenke's theorem on Gromov hyperbolic domains
Qingshan Zhou, Antti Rasila, Tiantian Guan
We establish a version of a classical theorem of Pommerenke, which is a diameter version of the Gehring-Hayman inequality on Gromov hyperbolic domains of . Two applic…
math.CV2021
The weak min-max property in Banach spaces
Zhengyong Ouyang, Antti Rasila, Tiantian Guan
In this paper, we investigate the relationship between the weak min-max property and the diameter uniformity of domains in Banach spaces with dimensions at least . As an applica…