Weighted composition operators whose ranges contain the disk algebra

被引：1
|
作者：
Izuchi, Kei Ji [1 ]
Izuchi, Kou Hei [2 ]
Izuchi, Yuko
机构：
[1] Niigata Univ, Dept Math, Niigata 9502181, Japan
[2] Yamaguchi Univ, Dept Math, Fac Educ, Yamaguchi 7538511, Japan
来源：
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2015年 / 60卷 / 07期
基金：
日本学术振兴会;
关键词：
weighted composition operator; automorphism; disk algebra; H-INFINITY;
D O I：
10.1080/17476933.2014.984607
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let be the family of analytic functions on . Let be an analytic self-map of and for . Let be the weighted composition operator on . It is proved that if contains the disk algebra, then there is with such that is an automorphism of and on .
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页码：938 / 944
页数：7
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