| 多重调和Bergman空间上多重调和符号的Topelitz算子 |
| |
| 引用本文： | 卢玉峰,周晓阳.多重调和Bergman空间上多重调和符号的Topelitz算子[J].应用泛函分析学报,2011,13(3):292-302. |
| |
| 作者姓名： | 卢玉峰 周晓阳 |
| |
| 作者单位： | 1. 大连理工大学数学科学学院,大连,116023
2. 大连民族学院理学院,大连,116600 |
| |
| 基金项目： | Supported by the National Science Foundation of China(10971020) |
| |
| 摘 要： | 研究多重调和Bergman空间上的Topelitz算子.对多重调和符号的Topelitz算子,给出了乘积性质、交换性质的符号描述.
|
| 关 键 词： | 函数空间 乘积 Toeplitz算子 多重调和Bergman空间 |
Toeplitz Operators with Pluriharmonic Symbols on the Pluriharmonic Bergman Space |
| |
| LU Yufeng,ZHOU Xiaoyang.Toeplitz Operators with Pluriharmonic Symbols on the Pluriharmonic Bergman Space[J].Acta Analysis Functionalis Applicata,2011,13(3):292-302. |
| |
| Authors: | LU Yufeng ZHOU Xiaoyang |
| |
| Institution: | LU Yufeng~1,ZHOU Xiaoyang~2 1.School of Mathematical Sciences,Dalian University of Technology,Dalian 116024,China 2.School of Science,Dalian Nationalities University,Dalian 116600,China |
| |
| Abstract: | In this paper,we study Toeplitz operators on the pluriharmonic Bergman space of the unit ball.For pluriharmonic symbols,we obtain a necessary condition for the product of two Toeplitz operators to be a Toeplitz operator.And we also give a characterization of some pluriharmonic symbols which induce commuting Toeplitz operators and zero semi-commutators,respectively. |
| |
| Keywords: | function space product commuting Toeplitz operator pluriharmonic Bergman space |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
