| 强奇异积分算子的多线性交换子的Sharp极大函数估计和连续性 |
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| 引用本文： | 刘岚喆.强奇异积分算子的多线性交换子的Sharp极大函数估计和连续性[J].数学学报,2011(3):503-512. |
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| 作者姓名： | 刘岚喆 |
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| 作者单位： | 湖南大学数学与计量经济学院 |
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| 摘 要： | 本文对由强奇异积分算子和加权Lipschitz函数生成的多线性交换子证明了其sharp极大函数估计,作为应用,得到了该多线性交换子的连续性.
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| 关 键 词： | 强奇异积分算子 多线性交换子 Sharp极大函数 |
Sharp Maximal Function Estimate and Continuity for Multilinear Commutators of Strongly Singular Integral Operators |
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| Lan Zhe LIU.Sharp Maximal Function Estimate and Continuity for Multilinear Commutators of Strongly Singular Integral Operators[J].Acta Mathematica Sinica,2011(3):503-512. |
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| Authors: | Lan Zhe LIU |
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| Institution: | Lan Zhe LIU College of Mathematics and Econometrics,Hu’nan University Changsha 410082,P.R.of China |
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| Abstract: | In this paper,we establish a sharp maximal function estimate for the multilinear commutators generated by the strongly singular integral operators and weighted Lipschitz functions.As an application,we obtain the continuity for the multilinear commutators. |
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| Keywords: | strongly singular integral operator multilinear commutator Sharp maxi- |
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