| Boundedness of Multilinear Singular Integral Operators on Homogeneous Groups |
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| 作者姓名： | 林燕 |
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| 作者单位： | School of Mathematical Sciences, Beijing Normal University, Beijing, 100875 |
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| 基金项目： | Foundation item. The NNSF （10571014） of China and the Doctoral Programme Foundation （20040027001） of Institution of Higher Education of China. |
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| 摘 要： | Let G be a homogeneous group.In this paper,the author studies the boundedness of multi-sublinear operators on the product of weighted Lebesgue spaces on G.As its special case,the corresponding result of multilinear Calderón-Zygmund operators can be obtained.
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| 关 键 词： | 齐次群 多线性奇异积分算子 有界性 积分变换 |
| 文章编号： | 1000-1778（2007）06-0505-08 |
| 收稿时间： | 2006-10-20 |
| 修稿时间： | 2006年10月20 |
Boundedness of Multilinear Singular Integral Operators on Homogeneous Groups |
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| LIN Yan.Boundedness of Multilinear Singular Integral Operators on Homogeneous Groups[J].Northeastern Mathematical Journal,2007,23(6):505-512. |
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| Authors: | LIN Yan |
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| Institution: | School of Mathematical Sciences, Beijing Normal University, Beijing, 100875 |
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| Abstract: | Let G be a homogeneous group. In this paper, the author studies the boundedness of multi-sublinear operators on the product of weighted Lebesgue spaces on G. As its special case, the corresponding result of multilinear Calderon-Zygmund operators can be obtained. |
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| Keywords: | homogeneous group weighted Lebesgue space multilinear Calderon-Zygmund operator |
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