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.