Compact Toeplitz operators on the Dirichlet space over unit ball

CHEN Jianjun; WANG Xiaofeng

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Compact Toeplitz operators on the Dirichlet space over unit ball

更新时间：2023-12-11

- Compact Toeplitz operators on the Dirichlet space over unit ball
- Acta Scientiarum Naturalium Universitatis SunYatseni Vol. 55, Issue 6, Pages: 74-78(2016)
- 作者机构：
  
  1. 肇庆学院数学与统计学院,广东,肇庆,526061
  2. 
  3. 中山大学数学学院,广东,广州,510275
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2016，
  
  Published Online：25 November 2016，
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CHEN Jianjun, WANG Xiaofeng. Compact Toeplitz operators on the Dirichlet space over unit ball. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 55(6):74-78(2016)
DOI：

CHEN Jianjun, WANG Xiaofeng. Compact Toeplitz operators on the Dirichlet space over unit ball. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 55(6):74-78(2016) DOI：

摘要

研究单位球上Dirichlet空间上的Toeplitz算子的紧性，得到结论：有限个具有有界符号的Toeplitz算子乘积的有限和是一个紧算子，等价于它的Berezin型变换消失于单位球面。

Abstract

The compactness of Toeplitz operators on Dirichlet space is studied. It is proved that finite sums of finite products of Toeplitz operators with bounded symbols are compact if and only if their Berezin-type transforms vanish on the boundary of the unit ball.

关键词

Toeplitz算子Berezin型变换Dirichlet空间单位球

Keywords

Toeplitz operatorBerezin type transformDirichlet spaceunit ball

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