| 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].数学年刊A辑,2015,36(4):411~420 |
| 有界平均振幅空间上的乘法算子 |
| Multiplication Operator on the Bounded MeanOscillation Space |
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| DOI： |
| 中文关键词: 乘法算子, 托普里兹算子, 单位球 |
| 英文关键词:Multiplication operator, Toeplitz operator, Unit ball |
| 基金项目:本文受到国家自然科学基金(No.11371182)的资助. |
| Author Name | Affiliation | E-mail | | ZHANG Kan | Postdoctoral of Agricultural Engineering, College of Sciences, Shenyang
Agricultural University, Shenyang 110866, China. | kanzhang2004@163.com | | LIU Xianmin | College of Sciences, Shenyang Agriculture University, Shenyang 110866,
China. | lxm800814@sina.com; | | DONG Jianguo | College of Sciences, Shenyang Agriculture University, Shenyang 110866,
China. | hilbetspace@126.com | | FENG Xue | Corresponding author. College of Sciences, Shenyang Agriculture Uni-
versity, Shenyang 110866, China | xfeng2000@163.com |
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| 中文摘要: |
| 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. |
| 英文摘要: |
| 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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