3 papers
math.CV2021
On quasiconformal extensions of harmonic mappings associated with pre-Schwarzian derivative
Xiao-Yuan Wang, Jin-Hua Fan, Zhen-Yong Hu +1
In this paper, we extend Ahlfors's univalent criteria and Ahlfors's quasiconformal extension for analytic functions to harmonic mappings defined in the unit disk. Moreover, we give…
math.CV2021
Some properties of certain close-to-convex harmonic mappings
Xiao-Yuan Wang, Zhi-Gang Wang, Jin-Hua Fan +1
In this paper, we determine the sharp estimates for Toeplitz determinants of a subclass of close-to-convex harmonic mappings. Moreover, we obtain an improved version of Bohr's ineq…
math.GT2013
Characterization of the asymptotic Teichmuller space of the open unit disk through shears
Jinhua Fan, Jun Hu
We give a parametrization to the asymptotic Teichmuller space of the open unit disk through equivalent classes of shear functions induced by quasisymmetric homeomorphisms on the Fa…