| 单位球加权Bergman空间上的紧算子 |
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| 引用本文： | 杨君,卢玉峰.单位球加权Bergman空间上的紧算子[J].数学研究及应用,2012,32(1):83-94. |
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| 作者姓名： | 杨君 卢玉峰 |
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| 作者单位： | 上海海事大学文理学院, 上海 201306;大连理工大学数学科学学院, 辽宁 大连 116023 |
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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,we study the compact operators on weighted Bergman spaces of the unit ball.Extending Miao and Zheng’result in 2004,we obtain the necessary and sufficient conditions for the operator to be compact on weighted Bergman spaces of the unit ball under some integrable conditions.
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| 关 键 词： | compact operator unit ball weighted Bergman space. |
| 收稿时间： | 2009/11/7 0:00:00 |
| 修稿时间： | 2010/4/26 0:00:00 |
Compact Operators on Weighted Bergman Spaces of the Unit Ball |
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| Jun YANG and Yu Feng LU.Compact Operators on Weighted Bergman Spaces of the Unit Ball[J].Journal of Mathematical Research with Applications,2012,32(1):83-94. |
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| Authors: | Jun YANG and Yu Feng LU |
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| Institution: | College of Arts and Sciences, Shanghai Maritime University, Shanghai 201306, P. R. China;School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P. R. China |
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| Abstract: | In this paper, we study the compact operators on weighted Bergman spaces of the unit ball. Extending Miao and Zheng'result in 2004, we obtain the necessary and sufficient conditions for the operator to be compact on weighted Bergman spaces of the unit ball under some integrable conditions. |
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| Keywords: | compact operator unit ball weighted Bergman space |
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