| 注册
首页|期刊导航|应用泛函分析学报|Dirichet空间上Toeplitz算子的若干问题

Dirichet空间上Toeplitz算子的若干问题

曹广福 钟昌勇

应用泛函分析学报2000,Vol.2Issue(4):289-197,2.
应用泛函分析学报2000,Vol.2Issue(4):289-197,2.

Dirichet空间上Toeplitz算子的若干问题

Some Problems of Toeplitz Operators on Dirichlet Spaces

曹广福 1钟昌勇1

作者信息

  • 1. 四川大学数学系, 四川 成都 610064
  • 折叠

摘要

Abstract

In the present paper, the compactness of Toeplit z operators on Dirichlet space is discussed, in particular, a characterization o f Schatten class Toeplitz operators is obtained. In addition, a nondense theorem on these operators is proved. It is also proved that there is a class of functi ons which induce the null Toeplitz operator, this is a surprising difference wit h respect to the case of Hardy or Bergman space.

关键词

Dirichlet空间/Toeplitz算子/凸型算子

Key words

dirichlet space/toeplitz operator/convexoid ope rator

引用本文复制引用

曹广福,钟昌勇..Dirichet空间上Toeplitz算子的若干问题[J].应用泛函分析学报,2000,2(4):289-197,2.

应用泛函分析学报

OACSCD

1009-1327

访问量0
|
下载量0
段落导航相关论文