Commuting Quasihomogeneous Toeplitz Operators on the Harmonic Bergman Space

被引：1
|
作者：
Xing-Tang Dong
Ze-Hua Zhou
机构：
[1] Tianjin University,Department of Mathematics
来源：
Complex Analysis and Operator Theory | 2013年 / 7卷
关键词：
Toeplitz operators; Harmonic Bergman space; Quasihomogeneous symbols; Primary 47B35;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we obtain a symmetry number for the commutator of quasihomogeneous Toeplitz operators on the harmonic Bergman space. Then we use it to characterize the commuting Toeplitz operators with quasihomogeneous symbols. Also, we show that a Toeplitz operator with an analytic or co-analytic monomial symbol commutes with another Toeplitz operator only in the trivial case.
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页码：1267 / 1285
页数：18
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