| $\theta$型Calderon-Zygmund核的多线性奇异积分极大算子的$L^{p}$-有界性 |
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| 引用本文： | 谢如龙.$\theta$型Calderon-Zygmund核的多线性奇异积分极大算子的$L^{p}$-有界性[J].系统科学与数学,2009,29(4):519-526. |
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| 作者姓名： | 谢如龙 |
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| 作者单位： | (1)巢湖学院数学系, 巢湖 238000; 安徽师范大学数学计算机科学学院, 芜湖 241000; (2)安徽师范大学数学计算机科学学院, 芜湖 241000. |
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| 摘 要： | 研究了$\theta$型Calderon-Zygmund核的多线性奇异积分极大算子, 证明了这类极大算子的$L^{p}$-有界性.
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| 关 键 词： | 多线性奇异积分 $\theta$型Calderon-Zygmund核 极大算子 BMO空间. |
| 收稿时间： | 2007-5-15 |
| 修稿时间： | 2008-5-19 |
$L^{p}$-Boundedness for the Maximal Multilinear Singular Integral Operator of ${\it \theta}$-Type Calderon-Zygmund Kernel |
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| XIE Rulong,SHU Lisheng.$L^{p}$-Boundedness for the Maximal Multilinear Singular Integral Operator of ${\it \theta}$-Type Calderon-Zygmund Kernel[J].Journal of Systems Science and Mathematical Sciences,2009,29(4):519-526. |
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| Authors: | XIE Rulong SHU Lisheng |
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| Institution: | (1)Department of Mathematics, Chaohu College, Chaohu 238000; College of Mathematics and Computer Science, Anhui Normal University, Wuhu 241000; (2)College of Mathematics and Computer Science, Anhui Normal University, Wuhu 241000. |
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| Abstract: | The maximal multilinear singular integral operator of $\theta$-type Calder$\acute{o}$n-Zygmund kernel is discussed, and the $L^{p}$-boundedness for this kind of maximal operators is proved. |
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| Keywords: | Multilinear singular integral $\theta$-type Calderon-Zygmund kernel maximal operator BMO space |
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