| 加权Bergman空间中的不变子空间上的根算子 |
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| 引用本文： | 周晓阳,史秀英,卢玉峰. 加权Bergman空间中的不变子空间上的根算子[J]. 数学研究及应用, 2010, 30(1): 54-66. DOI: 10.3770/j.issn:1000-341X.2010.01.005 |
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| 作者姓名： | 周晓阳 史秀英 卢玉峰 |
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| 作者单位： | 大连理工大学数学科学学院, 辽宁 大连 116024;赤峰学院, 内蒙古 赤峰 024000;大连理工大学数学科学学院, 辽宁 大连 116024 |
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| 基金项目： | 国家自然科学基金(Grant Nos.10671028; 10971020). |
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| 摘 要： | In this paper, for an invariant subspace I of the weighted Bergman space, the weighted root operator is defined. We study the weighted root operator and obtain its fundamental properties when the invariant subspace I has finite index. Furthermore, we give some examples of the root operator and estimate ranks of the operators.
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| 关 键 词： | 加权Bergman空间 不变子空间 不变算子 经营者 估计 |
| 收稿时间： | 2009-07-06 |
| 修稿时间： | 2009-12-04 |
The Root Operator on Invariant Subspaces of the Weighted Bergman Space |
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| Xiao Yang ZHOU,Xiu Ying SHI and Yu Feng LU. The Root Operator on Invariant Subspaces of the Weighted Bergman Space[J]. Journal of Mathematical Research with Applications, 2010, 30(1): 54-66. DOI: 10.3770/j.issn:1000-341X.2010.01.005 |
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| Authors: | Xiao Yang ZHOU Xiu Ying SHI Yu Feng LU |
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| Affiliation: | 1. School of Mathematical Science,Dalian University of Technology,Liaoning 116024,P.R.China
2. School of Continuing Education,Chifeng University,Inner Mongolia 024000,P.R.China |
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| Abstract: | In this paper, for an invariant subspace $I$ of the weighted Bergman space, the weighted root operator is defined. We study the weighted root operator and obtain its fundamental properties when the invariant subspace $I$ has finite index. Furthermore, we give some examples of the root operator and estimate ranks of the operators. |
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| Keywords: | root operator index weighted Bergman space invariant subspace. |
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