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.
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页码：4123 / 4141
页数：19
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