Properties of Toeplitz Operators on the Dirichlet Space Over the Ball

被引：0
作者：
Yin Yin Hu
Yu Feng Lu
Liu Liu
机构：
[1] Dalian Maritime University,Department of Mathematics
[2] Dalian University of Technology,Department of Mathematics
来源：
Acta Mathematica Sinica, English Series | 2019年 / 35卷
关键词：
Toeplitz operator; pluriharmonic symbols; Dirichlet space; 47B35; 47B32;
D O I：
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中图分类号：
学科分类号：
摘要：
On the Dirichlet space of the unit ball, we study some algebraic properties of Toeplitz operators. We give a relation between Toeplitz operators on the Dirichlet space and their analogues defined on the Hardy space. Based on this, we characterize when finite sums of products of Toeplitz operators are of finite rank. Also, we give a necessary and sufficient condition for the commutator and semi-commutator of two Toeplitz operators being zero.
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页码：1617 / 1628
页数：11
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