N维K-拟共形映照的一个局部最大原理

A Local Maximum Principle for N-Dimensional K-Quasiconformal Mappings

本文研究了N维K-拟共形映照的偏差性质,利用拟双曲度量得到了区域边界上任意一点附近的偏差可用该点邻域上偏差来控制,该结果将F.W.Gehring的平面结果推广到了空间.

In this paper, we have studied the distortion properties for N-dimensional K-quasiconformal mappings and shown that the distortion in the neighborhood of the boundary points can be controled by the distortion in the boundary points by using quasihyperbolic metric. This result is a generalization of gehring's result in the plane.