块对偶Toeplitz算子的乘积

张波, 石岩月, 卢玉峰

数学学报 ›› 2011, Vol. 54 ›› Issue (6) : 901-912.

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数学学报 ›› 2011, Vol. 54 ›› Issue (6) : 901-912. DOI: 10.12386/A2011sxxb0091
论文

块对偶Toeplitz算子的乘积

    张波1, 石岩月2, 卢玉峰1
作者信息 +

Products of Block Dual Toeplitz Operators

    Bo ZHANG1, Yan Yue SHI2, Yu Feng LU1
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文章历史 +

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.  

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.  

关键词

向量值Bergman空间 / 对偶Toeplitz算子 / 有界性

Key words

vector valued Bergman space / dual Toeplitz operator / bounded

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张波, 石岩月, 卢玉峰. 块对偶Toeplitz算子的乘积. 数学学报, 2011, 54(6): 901-912 https://doi.org/10.12386/A2011sxxb0091
Bo ZHANG, Yan Yue SHI, Yu Feng LU. Products of Block Dual Toeplitz Operators. Acta Mathematica Sinica, Chinese Series, 2011, 54(6): 901-912 https://doi.org/10.12386/A2011sxxb0091

参考文献

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基金

国家自然科学基金资助项目(10971020)

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