| 有界平均振幅空间上的乘法算子 |
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| 引用本文： | 张阚,刘宪敏,董建国,丰雪.有界平均振幅空间上的乘法算子[J].河海大学学报(自然科学版),2015(4):411-420. |
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| 作者姓名： | 张阚 刘宪敏 董建国 丰雪 |
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| 作者单位： | 沈阳农业大学农业工程博士后流动站, 沈阳农业大学理学院, 沈阳 110866.,沈阳农业大学理学院, 沈阳 110866,沈阳农业大学理学院, 沈阳 110866,通讯作者. 沈阳农业大学理学院, 沈阳 110866. |
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| 基金项目： | 本文受到国家自然科学基金(No.11371182)的资助. |
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| 摘 要： | 有界平均振幅空间的研究在算子理论及全纯空间的研究中具有重要的作用.
主要研究了有界平均振幅空间上乘法算子的性质, 并且得到了托普里兹算子有界性及紧性的条件.
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| 关 键 词： | 乘法算子 托普里兹算子 单位球 |
Multiplication Operator on the Bounded Mean
Oscillation Space |
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| ZHANG Kan,LIU Xianmin,DONG Jianguo and FENG Xue.Multiplication Operator on the Bounded Mean
Oscillation Space[J].Journal of Hohai University (Natural Sciences ),2015(4):411-420. |
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| Authors: | ZHANG Kan LIU Xianmin DONG Jianguo and FENG Xue |
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| Institution: | Postdoctoral of Agricultural Engineering, College of Sciences, Shenyang
Agricultural University, Shenyang 110866, China.,College of Sciences, Shenyang Agriculture University, Shenyang 110866,
China.,College of Sciences, Shenyang Agriculture University, Shenyang 110866,
China. and Corresponding author. College of Sciences, Shenyang Agriculture Uni-
versity, Shenyang 110866, China |
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| Abstract: | The study of bounded mean oscillation space plays an important role in op-
erator theory and holomorphic spaces. In this paper, the authors research the properties
of the multiplication operator on bounded mean oscillation space. The boundedness and
compactness of Toeplitz operator are also obtained. |
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| Keywords: | Multiplication operator Toeplitz operator Unit ball |
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