4 citations · 12 across the 24 of their papers we have counts for
7 papers · 1 filter
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…
Teichmüller's problem for Gromov hyperbolic domains
Qingshan Zhou, Antti Rasila
Let be the class of -quasiconformal automorphisms of a domain with identity boundary values. Teichmüller's problem is to determine…
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…
Busemann functions and uniformization of Gromov hyperbolic spaces
Qingshan Zhou, Saminathan Ponnusamy, Antti Rasila
Uniformization theory of Gromov hypebolic spaces investigated by Bonk, Heinonen and Koskela, generalizes the case where a classical Poincaré ball type model is used as the starting…
Quasimöbius invariance of uniform domains
Qingshan Zhou, Antti Rasila
In this paper, we study quasimöbius invariance of uniform domains in Banach spaces. We first investigate implications of certain geometric properties of domains in Banach spaces, s…
The Gehring-Hayman type theorems on complex domains
Jinsong Liu, Hongyu Wang, Qingshan Zhou
In this paper we establish Gehring-Hayman type theorems for some complex domains. Suppose that is a bounded -convex domain with Dini-smooth boundary, or…
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…