Commutants of separately radial Toeplitz operators in several variables

被引：8

作者：

Le, Trieu ^{[1
]}

机构：

[1] Univ Toledo, Dept Math & Stat, 2801 W Bancroft St, Toledo, OH 43606 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 453卷 / 01期

关键词：

Bergman spaces; Toeplitz operators; Commutants; Separately radial functions; UNIT BALL; ALGEBRAS;

D O I：

10.1016/j.jmaa.2017.03.088

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

If phi is a bounded separately radial function on the unit ball, the Toeplitz operator T-phi is diagonalizable with respect to the standard orthogonal basis of monomials on the Bergman space. Given such a phi, we characterize bounded functions psi for which T-psi commutes with T-phi. Several examples are given to illustrate our results. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：48 / 63

页数：16

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