TOEPLITZ OPERATORS ON WEIGHTED PLURIHARMONIC BERGMAN SPACE

被引：0
|
作者：
Kong, Linghui [1 ]
Lu, Yufeng [2 ]
机构：
[1] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China
[2] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
来源：
BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2018年 / 12卷 / 02期
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
Toeplitz operator; commutant; finite-rank product; pluriharmonic Bergman space; COMMUTANTS; PRODUCTS; SYMBOLS;
D O I：
10.1215/17358787-2017-0055
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we consider some algebraic properties of Toeplitz operators on weighted pluriharmonic Bergman space on the unit ball. We characterize the commutants of Toeplitz operators whose symbols are certain separately radial functions or holomorphic monomials, and then give a partial answer to the finite-rank product problem of Toeplitz operators.
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页码：439 / 455
页数：17
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