Uniformly bounded maximal phi-disks, Bers space and harmonic maps

摘要

We characterize Bers space by means of maximal phi-disks. As an application we show that the Hopf differential of a quasiregular harmonic map with respect to strongly negatively curved metric belongs to Bers space. Also we give further sufficient or necessary conditions for a holomorphic function to belong to Bers space. [References: 22]