| 具广义Calderón-Zygmund核的多线性振荡奇异积分极大算子的有界性 |
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| 引用本文： | 兰家诚.具广义Calderón-Zygmund核的多线性振荡奇异积分极大算子的有界性[J].数学年刊A辑(中文版),2005(6). |
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| 作者姓名： | 兰家诚 |
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| 作者单位： | 丽水学院数学系 浙江 |
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| 基金项目： | 浙江省自然科学基金(No．M103069)
浙江省教育厅科研基金(No．20021022)资助的项目 |
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| 摘 要： | 本文研究了具有广义Calderon-Zygmund核的多线性奇异积分极大算子和多线性振荡奇异积分极 大算子,证明了这类极大算子的Lp-有界性．
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| 关 键 词： | 极大算子 多线性振荡奇异积分 广义Calderon-Zygmund核 BMO空间 |
BOUNDEDNESS OF MAXIMAL OPERATOR OF MULTILINEAR SINGULAR INTEGRALS WITH GENERALIZED CALDERON-ZYGMUND KERNEL |
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| LAN Jiacheng.BOUNDEDNESS OF MAXIMAL OPERATOR OF MULTILINEAR SINGULAR INTEGRALS WITH GENERALIZED CALDERON-ZYGMUND KERNEL[J].Chinese Annals of Mathematics,2005(6). |
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| Authors: | LAN Jiacheng |
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| Institution: | LAN Jiacheng Department of Mathematics,Lishui University,Lishui 323000,Zhejiang,China |
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| Abstract: | In this paper, the author discusses the boundedness for a class of maximal operator of multilinear singular integrals with generalized Calderon-Zygmund kernel, and obtains Lp-boundedness of this class maximal operator. |
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| Keywords: | Maximal operator Multilinear oscillatory singular integral Generalized Calderon-Zygmund kernel BMO spaces |
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