摘要
本文研究单位球上的多重调和Bergman空间bα^2上的k-拟齐次Toeplitz算子的基本性质,得到了该类算子所构成的交换子及半交换子的两个对称性质.此外,本文还得到了bα^2上的两个单项式型Toeplitz算子所构成的交换子和半交换子具有有限秩的充分必要条件.
In this paper,we study some basic properties of the k-quasi-homogeneous Toeplitz operators on pluriharmonic Bergman space bα^2 of the unit ball,and obtain two symmetric properties of the commutator and semi-commutator consisting of two such operators on bα^2.Additionally,we obtain the necessary and sufficient conditions for the finite rank of commutator and semi-commutator of two monomial-type Toeplitz operators on bα^2.
作者
代鑫
董兴堂
张莹莹
DAI Xin;DONG Xing-Tang;ZHANG Ying-Ying(School of Mathematics,Tianjin University,Tianjin 300350,China)
出处
《四川大学学报（自然科学版）》
CAS
CSCD
北大核心
2019年第6期989-996,共8页
Journal of Sichuan University(Natural Science Edition)
基金
国家自然科学基金(11201331,11371276,11771323)
