Commutants of Analytic Toeplitz Operators on the Harmonic Bergman Space

被引：0

作者：

Boo Rim Choe

Young Joo Lee

机构：

[1] Korea University,Department of Mathematics

[2] Mokpo National University,Department of Mathematics

来源：

Integral Equations and Operator Theory | 2004年 / 50卷

关键词：

Primary 47B35; Commutant; Toeplitz operator; harmonic Bergman space;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study the commuting problem for Toeplitz operators on the harmonic Bergman space of the unit disk. We show that an analytic Toeplitz operator and a co-analytic Toeplitz operator with certain noncyclicity hypothesis can commute only when one of their symbols is constant. We also obtain analogous results for semi-commutants.

引用

页码：559 / 564

页数：5