Powers and roots of Toeplitz operators

被引：16
|
作者：
Louhichi, Issam [1 ]
机构：
[1] Univ Bordeaux 1, UFR Math & Informat, F-33405 Talence, France
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2007年 / 135卷 / 05期
关键词：
Toeplitz operators; Bergman space; Mellin transform;
D O I：
10.1090/S0002-9939-06-08626-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the commutativity of two Toeplitz operators whose symbols are quasihomogeneous functions. We give a relationship between this commutativity and the roots ( or powers) of the Toeplitz operators. We use this to characterize Toeplitz operators with symbols in L-infinity(D) which commute with Toeplitz operators whose symbols are of the form e(ip theta)r(m).
引用
收藏
页码：1465 / 1475
页数：11
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