Toeplitz Operators on the Bergman Space of Multi-connected Domains

被引：0
|
作者：
于 涛
曹广福
机构：
来源：
NortheasternMathematicalJournal | 2001年 / 04期
关键词：
Bergman space; Toeplitz operator; Carleson measure; multi-connected domain;
D O I：
10.13447/j.1674-5647.2001.04.014
中图分类号：
O177.1 [希尔伯特空间及其线性算子理论];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the Toeplitz operators with positive measure symbols on the Bergman spaces of bounded multi-connected domains and show that a Toeplitz operator is bounded or compact if and only if the symbol measure is a Carleson or vanishing Carleson measure respectively.
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页码：487 / 493
页数：7
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