On order bounded weighted composition operators between Dirichlet spaces

被引:0
|
作者
Ajay K. Sharma
机构
[1] Shri Mata Vaishno Devi University,Department of Mathematics
来源
Positivity | 2017年 / 21卷
关键词
Banach lattice; Hardy space; Dirichlet space; Weighted Bergman space; Weighted composition operator; Order bounded operator; 47B38; 30H10; 30H20; 46E15;
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学科分类号
摘要
Recently, Gao et al. (Chin Ann Math 37B:585–594, 2016) proved a sufficient condition for order boundedness of a weighted composition operator acting between Dirichlet spaces. In this paper, we prove that their condition is a necessary and sufficient condition for order boundedness of a weighted composition operator acting between these spaces.
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页码:1213 / 1221
页数:8
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