2 citations · 6 across the 8 of their papers we have counts for
8 papers
A note on Väisälä's problem concerning free quasiconformal mappings
Qingshan Zhou, Yaxiang Li, Antti Rasila
In this paper, we provide partial solutions to a problem raised by Väisälä on local properties of free quasiconformal mappings. In particular, we show that a locally free quasiconf…
Sphericalization with its applications in Gromov hyperbolic spaces
Qingshan Zhou, Yaxiang Li, Xining Li
In this paper, we study certain applications of sphericalization in Gromov hyperbolic metric spaces. We first show that the doubling property regarding two classes of metrics on th…
Sphericalization and flattening with their applications in quasimetric measure spaces
Qingshan Zhou, Yaxiang Li, Xining Li
The main purpose of the note is to explore the invariant properties of sphericalization and flattening and their applications in quasi-metric spaces. We show that sphericalization…
Gromov hyperbolicity, John spaces and quasihyperbolic geodesics
Qingshan Zhou, Yaxiang Li, Antti Rasila
We show that every quasihyperbolic geodesic in a John space admitting a roughly starlike Gromov hyperbolic quasihyperbolization is a cone arc. This result provides a new approach t…
Deformations on symbolic Cantor sets and ultrametric spaces
Qingshan Zhou, Xining Li, Yaxiang Li
By introducing new deformations on symbolic Cantor sets and ultrametric spaces, we prove that doubling ultrametric spaces admit bilipschitz embedding into Cantor sets. If in additi…
Apollonian metric, uniformity and Gromov hyperbolicity
Yaxiang Li, Matti Vuorinen, Qingshan Zhou
The main purpose of this paper is to investigate the properties of a mapping which is required to be roughly bilipschitz with respect to the Apollonian metric (roughly Apollonian b…
Characterizations of John spaces
Yaxiang Li, Matti Vuorinen, Qingshan Zhou
The main purpose of this paper is to study the characterizations of John spaces. We obtain five equivalence characteristics for length John spaces. As an application, we establish…
Uniform perfectness for quasi-metric spaces
Qingshan Zhou, Yaxiang Li, Ailing Xiao
The aim of this paper is to investigate the equivalence conditions for uniform perfectness of quasi-metric spaces. We also obtain the invariant property of uniform perfectness unde…