α—调和函数的边界α—细极限

Boundary α—Fine Limit of the α—Harmonic Function

本文讨论了两个正α—调和函数 u(x),h(x)的商 u(x)/h(x)在边界点 x_0∈■α—细极限与不相切极限的关系.得到结果:若 u(x)/h(x)在边界点 x_0有α—细极限.则 u(x)/h(x)在 x_0有相同的不相切极限。

In this paper,we diseuss a-fine limit of the u(x)/h(x)at a aboundary point,where u(x) and h(x)are two.a-harmonie functions.We obtained the following result:if u(x)/h(x)has a—fine limit λ at x_o,then it has nontangential limit λ at x_o.