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

页码：1465 / 1475

页数：11

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