单位圆上K-拟共形映照的爆破性

The Expldable Property of K-quasiconformal Mappings in the Unit Disk

在R.M.Porter和L.F.Reséndis研究径向映照的爆破性的基础上,进一步研究单位圆到单位圆上的拟共形映照类具有形如f(z)=ρ(r,θ)eiφ(r,θ)的双曲面积问题,得到了此类拟共形映照为非爆破的条件,推广了已有的结果.

In this paper,we study on the properities of hyperbolic area distortion under a class of general quasiconformal mappings defined in the unit disk.We prove that the class of quasiconformal mappings can’t be exploded,which extend some previous results.