最大模原则的推广及应用

Dissemination and application of the maximum module

主要讨论了Phragmen-Lindelof原则在有界区域边界上有不解析点的函数;在无界区域上满足适当条件函数的最大模的状态;对在有界区域上的解析函数f(z),其实部或虚部有界,则在该区域内|f(z)|有界.

By using the principle of Phragmen-Lindelof, the present paper discusses the function with non-analytic point on the boundary of a bounded domain and the function with the property of maximum module on the unbounded domain in certain events. For an analytic function defined is also bounded in a bounded domain, as the real and imaginary part is bounded.