【摘要】 文献[6]已经证明了 Julia 例外函数集 J,在一致球面收敛的意义下是一个线性闭色。本文在 Julia 例外函数集 J 上引入了距离函数,讨论了距离空间[J,ρ]的一些拓扑性质,得到了正规族理论中,一致有界的连续函数集正规和解析函数集正规这两个定理的抽象形式。更多还原

【Abstract】 It is proved in the paper [6] that Julia’s exceptional function set J is a linear closure in the sense of uniform convergence on a sphere.This paper introduces metric function on Julia’s exceptional function set J.It also inquires into some topological properties of the metric space [J,ρ],And thus it obtains the abstract forms of two theorems in the normal family theory-the uniformly bounded continuous function set is normal and the uniformly bounded analytic function set is normal.更多还原