| 一类Marcinkiewicz积分的L~p有界性 |
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| 引用本文： | 孙颀彧,胡国恩.一类Marcinkiewicz积分的L~p有界性[J].浙江大学学报(理学版),1993(2). |
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| 作者姓名： | 孙颀彧 胡国恩 |
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| 作者单位： | 浙江大学高等数学研究所
(孙颀彧)，杭州大学数学系(胡国恩) |
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| 摘 要： | 本文利用Fourier变换方法,在核函数缺乏光滑性的条件下,考虑Marcinkiewicz积分的L~2和加权L~p有界性,改进了3]和9]中的结论.
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| 关 键 词： | Marcinkiewicz积分 A_p权 Hormander条件 粗糙核 |
On the L~p Boundedness of a Marcinkiewicz Integral |
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| Sun Qiyu,Hu Guoen.On the L~p Boundedness of a Marcinkiewicz Integral[J].Journal of Zhejiang University(Sciences Edition),1993(2). |
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| Authors: | Sun Qiyu Hu Guoen |
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| Institution: | Department of Mathematics |
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| Abstract: | The L2 boundedness and weighted Lp boundedness of a Marcinkiewicz integral are considered under weak conditions on kernel via Fourier transform method. The results in 3] and 9] are improved. |
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| Keywords: | Marcinkiewicz integral Ap weight H(?)rmander condition rough kernel |
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