Yaxiang Li

activity

20082026

most citedFreely quasiconformal maps and distance ratio metric

4 citations · 11 across the 12 of their papers we have counts for

collaborators

12 papers

math.CV2026

Equivalent characterizations of John and uniform domains in doubling metric spaces

Yaxiang Li, Yahui Sheng, Zhuang Wang

In this paper, we characterize John and uniform domains in doubling metric spaces. Specifically, we show that a locally quasiconvex domain in a doubling metric space is length John…

math.CV2025

Dimension-free inner uniform estimates for quasigeodesics

Chang-Yu Guo, Manzi Huang, Yaxiang Li +1

In this paper, we establish a dimension-free inner uniform estimate for quasigeodesics. More precisely, we prove that a $c_{0}$ -quasigeodesic in a $δ$ -Gromov hyperbolic $c$ -John doma…

math.CV2017

Weakly quasisymmetric maps and uniform spaces

Yaxiang Li, Matti Vuorinen, Qingshan Zhou

Suppose that $X$ and $Y$ are quasiconvex and complete metric spaces, that $G \subset X$ and $G^{'} \subset Y$ are domains, and that $f : G \to G^{'}$ is a homeomorphism. In this paper, we fi…

math.CV2015

On the subinvariance of uniform domains in metric spaces

Yaxiang Li, Manzi Huang, Xiantao Wang +1

Suppose that $X$ and $Y$ are quasiconvex and complete metric spaces, that $G \subset X$ and $G^{'} \subset Y$ are domains, and that $f : G \to G^{'}$ is a homeomorphism. Our main result is t…

math.CV2014★ 4 cited

Freely quasiconformal maps and distance ratio metric

Y. Li, S. Ponnusamy, M. Vuorinen

Suppose that $E$ and $E^{'}$ denote real Banach spaces with dimension at least $2$ and that $D \subset E$ and $D^{'} \subset E^{'}$ are domains. In this paper, we establish, in terms of the $…

math.CV2013

On John domains in Banach spaces

Y. Li, M. Vuorinen, X. Wang

We study the stability of John domains in Banach spaces under removal of a countable set of points. In particular, we prove that the class of John domains is stable in the sense th…

math.CV2013

Inner uniform domains and the Apollonian inner metric

Yaxiang Li, Xiantao Wang

In this paper, we characterize inner uniform domains in $\IR^n$ in terms of Apollonian inner metric and the metric $j_{D}^{'}$ when $D$ are Apollonian. As an application, a new characte…

math.MG2012

Balls in the triangular ratio metric

Sami Hokuni, Riku Klén, Yaxiang Li +1

We consider the triangular ratio metric and estimate the radius of convexity for balls in some special domains and prove the inclusion relations of metric balls defined by the tria…

math.MG2012★ 1 cited

Subdomain geometry of hyperbolic type metrics

Riku Klén, Yaxiang Li, Matti Vuorinen

Given a domain $G \subsetneq \Rn$ we study the quasihyperbolic and the distance ratio metrics of $G$ and their connection to the corresponding metrics of a subdomain $D \subset G$ .…

math.MG2011

Local properties of quasihyperbolic and freely quasiconformal mappings

Yaxiang Li, Matti Vuorinen, Xiantao Wang

Suppose that $E$ and $E^{'}$ denote real Banach spaces with dimension at least 2, that $D \subset E$ and $D^{'} \subset E^{'}$ are domains, and that $f : D \to D^{'}$ is a homeomorphism. In this p…

math.CV2011★ 2 cited

On quasimöbius maps in real Banach spaces

Manzi Huang, Yaxiang Li, Matti Vuorinen +1

Suppose that $E$ and $E^{'}$ denote real Banach spaces with dimension at least 2, that $D  E$ and $D^{'}  E^{'}$ are domains, that $f : D \to D^{'}$ is an $(M, C)$ -CQH hom…

math.MG2008★ 4 cited

On the stability of $ϕ$ -uniform domains

R. Klén, Y. Li, S. K. Sahoo +1

We study two metrics, the quasihyperbolic metric and the distance ratio metric of a subdomain $G \subset R^{n}$ . In the sequel, we investigate a class of domains, so called…