The commutants of analytic Toeplitz operators for several complex variables

被引：2

作者：

Cao GuangFu ^{[1
]}

Huang Sui ^{[1
]}

机构：

[1] Guangzhou Univ, Dept Math, Guangzhou 510006, Guangdong, Peoples R China

来源：

SCIENCE CHINA-MATHEMATICS | 2010年 / 53卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Toeplitz operator; commutant of an operator;

D O I：

10.1007/s11425-010-4023-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is proved that if phi is a nonconstant bounded analytic function on the unit ball B (n) and continuous on S (n) in a", (n) , and psi is a bounded measurable function on S (n) such that T (phi*) and T (psi) commute, then psi is the boundary value of an analytic function on B (n) . In addition, the commutants of two Toeplitz operators are also discussed.

引用

页码：1877 / 1884

页数：8

共 12 条

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