中文摘要：

该文讨论μ（z）-同胚的边界性质．给出了一个充分条件，使得上半平面的μ（z）-自同胚可以拓扑地向边界延拓．用μ（z）-同胚的伸张函数估计了ρ-函数．

英文摘要：

In this paper the author studies the boundary behavior of μ（z）-homeomorphisms. A sufficient condition is given such that the μ（z）-homeomorphism of the upper half plane onto itself can be topologically extended to the boundary. The auther also estimates the ρ-function by the dilatation function of μ（z）-homeo morphism.