Sums of Products of Toeplitz and Hankel Operators on the Dirichlet Space

被引：20

作者：

Lee, Young Joo ^{[2
]}

Zhu, Kehe ^{[1
]}

机构：

[1] SUNY Albany, Dept Math & Stat, Albany, NY 12222 USA

[2] Chonnam Natl Univ, Dept Math, Kwangju 500757, South Korea

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 2011年 / 71卷 / 02期

基金：

新加坡国家研究基金会;

关键词：

Toeplitz operator; Hankel operator; Dirichlet space; SYMBOLS;

D O I：

10.1007/s00020-011-1901-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

On the Dirichlet space of the unit disk, we consider operators that are finite sums of Toeplitz products, Hankel products or products of a Toeplitz operator and a Hankel operator. We characterize when such operators are equal to zero. Our results extend several known results using completely different arguments.

引用

页码：275 / 302

页数：28

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