| 带非光滑核的多线性奇异积分极大算子的有界性 |
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| 引用本文： | 陈冬香,毛素珍.带非光滑核的多线性奇异积分极大算子的有界性[J].江西师范大学学报(自然科学版),2012(4):343-346. |
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| 作者姓名： | 陈冬香 毛素珍 |
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| 作者单位： | 江西师范大学数学与信息科学学院 江西 南昌 330022 |
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| 基金项目： | 国家自然科学基金(10961015,10871173)资助项目 |
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| 摘 要： | 利用极大算子的sharp极大函数的点态估计方法,建立了具有非光滑核的多线性奇异积分极大算子的Cotlar型不等式,应用Cotlar不等式证明了极大算子是Lr(Rn)到Lp0(Rn)上的有界算子,推广了一些已知结果.
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| 关 键 词： | 多线性奇异积分算子 非光滑核 恒等逼近 Cotlar不等式 极大算子 |
The Boundedness of the Maximal Multilinear Singular Integral Operator with Non-Smooth Kernel |
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| CHEN Dong-xiang,MAO Su-zhen.The Boundedness of the Maximal Multilinear Singular Integral Operator with Non-Smooth Kernel[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2012(4):343-346. |
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| Authors: | CHEN Dong-xiang MAO Su-zhen |
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| Affiliation: | (College of Mathematics and Informatics,Jiangxi Normal University,Nanchang Jiangxi 330022,China) |
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| Abstract: | Using the pointwise estimates of sharp maximal function for the maximal singular integrals,the cotlar inequality for the maximal multilinear singular integral operator with non-smooth kernels is established and it is proved that the maximal operator is bounded from Lr(Rn) into Lp0(Rn).Some known results are extended. |
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| Keywords: | multilinear singular integral operator non-smooth kernel approximation to the identity Cotlar inequality maximal operator |
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