Extreme Points of α-Normal Functions

被引：0

作者：

Huang, M. ^{[1
]}

Qiao, J. ^{[1
]}

Zhai, X. ^{[1
]}

机构：

[1] Hebei Univ, Dept Math, Baoding 071002, Hebei, Peoples R China

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2020年 / 43卷 / 06期

关键词：

Analytic function; Normal function; alpha-Normal function; Extreme point; CONVEX-FUNCTIONS; FAMILIES;

D O I：

10.1007/s40840-020-00912-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider the existence of extreme points of analytic alpha-normal functions. First, in terms of alpha-normal unit-valued set, we obtain a necessary condition for a little alpha-normal function to be an extreme point of N0,1 alpha-normal functions in the unit disk; second, we prove that the alpha-normal unit-valued set of a little alpha-normal function in N0,1 alpha consists of several simple closed pairwise disjoint analytic curves and several isolated points.

引用

页码：4123 / 4141

页数：19

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