| Boundedness for commutators of Bochner-Riesz operators below a critical index |
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| 作者姓名： | Shan-zhen LU & Xia XIA School of Mathentical Sciences Beijing Normal University Beijing China |
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| 作者单位： | Shan-zhen LU & Xia XIA School of Mathentical Sciences，Beijing Normal University，Beijing 100875，China |
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| 基金项目： | 国家自然科学基金;教育部高等学校博士学科点专项科研基金 |
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| 摘 要： | In this paper, the authors obtain a necessary and sufficient condition for the LP bound-edness of commutators generated by Bochner-Riesz operators below a critical index and Lipschitz functions in two dimensional case. The authors also discuss a similar problem for higher dimensions.
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| 收稿时间： | 20 March 2006 |
| 修稿时间： | 1 February 2007 |
Boundedness for commutators of Bochner-Riesz operators below a critical index |
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| Shan-zhen LU & Xia XIA School of Mathentical Sciences,Beijing Normal University,Beijing ,China.Boundedness for commutators of Bochner-Riesz operators below a critical index[J].Science in China(Mathematics),2007,50(6):801-813. |
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| Authors: | Shan-zhen Lu Xia Xia |
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| Institution: | School of Mathentical Sciences, Beijing Normal University, Beijing 100875, China |
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| Abstract: | In this paper, the authors obtain a necessary and sufficient condition for the LP bound-edness of commutators generated by Bochner-Riesz operators below a critical index and Lipschitz functions in two dimensional case. The authors also discuss a similar problem for higher dimensions. |
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| Keywords: | commutator Bochner-Riesz operators Lipschitz functions |
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