Power bounded composition operators on weighted Dirichlet spaces

被引：0
|
作者：
Keshavarzi, Hamzeh [1 ]
Khani-Robati, Bahram [1 ]
机构：
[1] Shiraz Univ, Dept Math, Shiraz, Iran
来源：
NEW YORK JOURNAL OF MATHEMATICS | 2018年 / 24卷
关键词：
power bounded; composition operators; weighted Dirichlet space; Riesz operator; COMPACT; HARDY;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study power bounded composition operators on weighted Dirichlet spaces D alpha. As applications, we give the necessary and sufficient conditions for the composition operators to be Riesz operator on D-alpha, when C-phi is power bounded on D-beta, for some 0 < beta < alpha. For alpha > 1, we completely characterize the Riesz composition operators on D-alpha. Moreover, we investigate the functions f is an element of D alpha, when f & phi(n) is convergent or lim(n ->infinity) f & phi(n) = 0, in D-alpha. Some of the techniques developed in the paper are not new but lead to new results.
引用
收藏
页码：389 / 403
页数：15
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