3 citations · 3 across the 5 of their papers we have counts for
6 papers · 1 filter
Denjoy Domains and BMOA
Shengjin Huo, Michel Zinsmeister
A Denjoy domain is a plane domain whose complement is a closed subset of the extended real line containing : such a domain is called Carleson-homogeneous if…
Strongly quasisymmetirc homeomorphisms being compatible with Fuchsian groups
Shengjin Huo, Mengzhen Zhao
In this paper we first introduced a domain called generalized Dirichlet fundamental domain for a Fuchsian group whose generators contain parabolic elements. T…
On the dimension distortions of quasi-symmetric homeomorphisms
Shengjin Huo
In this paper, we first generalize a result of Bishop and Steger [Representation theoretic rigidity in PSL(2, R). Acta Math., 170, (1993), 121-149] by proving that for a Fuchsian g…
On Carleson Measures of Beltrami Coefficients Being Compatible with Infinitely Generated Fuchsian Groups Related to Denjoy Domian
Shengjin Huo
Let be a Carleson-Denjoy domain and be its covering group. Let be a Beltrami coefficient on the unit disk which is compatible with the group . In this paper we show…
On Carleson measures induced by Beltrami coefficients being compatible with Fuchsian groups
Huo Shengjin
Suppose be a Beltrami coefficient on the unit disk, which is compatible with a convex co-compact Fuchsian group of the second kind. In this paper we show that if $\displays…
On Ruelle's property
Huo Shengjin, Michel Zinsmeister
In this paper we investigate the range of validity of Ruelle's property. First, we show that every finitely-generated Fuchsian group has Ruelle's property. We also prove the existe…