普里瓦洛夫定理和阿里别尔定理的推广

Generalization of Y.Y.Plivaloff's Theorem and S.Y.Alibel's Theorem

本文以高阶连续模为工具，分析研究定义于单位圆上的解析函数的实部和虚部边界值的光滑性，并获得若干新的结果．这些结果包含了前苏联数学家Привалов（普里瓦洛夫）和Альпер（阿里别尔）的结论．

In this paper we study smoothness of a kind of analytic functions and generalize Plivaloff's theorem and Alibel's theorem to the condition of higher modulus of continuity.