| 块对偶Toeplitz算子的乘积 |
| |
| 引用本文： | 张波,石岩月,卢玉峰.块对偶Toeplitz算子的乘积[J].数学学报,2011(6):901-912. |
| |
| 作者姓名： | 张波 石岩月 卢玉峰 |
| |
| 作者单位： | 大连理工大学数学科学学院;中国海洋大学数学科学学院; |
| |
| 基金项目： | 国家自然科学基金资助项目(10971020) |
| |
| 摘 要： | 本文刻画了向量值Bergman空间上块对偶Toeplitz算子有界性和紧性,给出了块对偶Toeplitz算子的乘积是块对偶Toeplitz算子的充要条件.
|
| 关 键 词： | 向量值Bergman空间 对偶Toeplitz算子 有界性 |
Products of Block Dual Toeplitz Operators |
| |
| Bo ZHANG School of Mathematical Sciences,Dalian University of Technology,Dalian ,P.R.China Yan Yue SHI School of Mathematical Sciences,Ocean University of China,Qingdao ,P.R.China Yu Feng LU School of Mathematical Sciences,P.R.China.Products of Block Dual Toeplitz Operators[J].Acta Mathematica Sinica,2011(6):901-912. |
| |
| Authors: | Bo ZHANG School of Mathematical Sciences Dalian University of Technology Dalian PRChina Yan Yue SHI School of Mathematical Sciences Ocean University of China Qingdao PRChina Yu Feng LU School of Mathematical Sciences PRChina |
| |
| Affiliation: | Bo ZHANG School of Mathematical Sciences,Dalian University of Technology,Dalian 116024,P.R.China Yan Yue SHI School of Mathematical Sciences,Ocean University of China,Qingdao 266100,P.R.China Yu Feng LU School of Mathematical Sciences,P.R.China |
| |
| Abstract: | In this paper,we characterize when a block dual Toeplitz operator on the vector valued Bergman space is bounded or compact and give some necessary and sufficient conditions for the product of two block dual Toeplitz operators to be a block dual Toeplitz operator. |
| |
| Keywords: | vector valued Bergman space dual Toeplitz operator bounded |
| 本文献已被 CNKI 等数据库收录！ |
