| 粗糙核Littlewood-Paley算子在加权Morrey空间上的弱估计 |
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| 引用本文： | 戴惠萍,陶双平,苟银霞.粗糙核Littlewood-Paley算子在加权Morrey空间上的弱估计[J].吉林大学学报(理学版),2014,52(5):888-894. |
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| 作者姓名： | 戴惠萍 陶双平 苟银霞 |
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| 作者单位： | 西北师范大学 数学与统计学院, 兰州 730070 |
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| 摘 要： | 当核函数Ω∈Lq(Sn-1)(1q≤∞)为零阶齐次且满足消失矩条件时,利用权不等式和加权Lebesgue空间上的有界性,分别得到了粗糙核面积积分和Littlewood-Paley g*λ函数在加权Morrey空间Lp,κ(ω)上的弱有界性.
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| 关 键 词： | Littlewood-Paley算子 弱Morrey空间 Ap权 |
| 收稿时间： | 2013-10-29 |
Weak Estimates for Littlewood-Paley Operators with Rough Kernels on the Weighted Morrey Spaces |
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| DAI Huiping,TAO Shuangping,GOU Yinxia.Weak Estimates for Littlewood-Paley Operators with Rough Kernels on the Weighted Morrey Spaces[J].Journal of Jilin University: Sci Ed,2014,52(5):888-894. |
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| Authors: | DAI Huiping TAO Shuangping GOU Yinxia |
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| Institution: | College of Mathematics and Statistics Science, Northwest Normal University, Lanzhou 730070, China |
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| Abstract: | With the help of the weighted inequalities and boundedness on the weighted Lebesgue spaces, the weak type estimates of the square function with rough kernel and Littlewood Paley g*λ function are obtained respectively on the weighted Morrey spaces Lp,κ(ω) as the kernel
Ω∈Lq(Sn-1)(1n-1. |
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| Keywords: | Littlewood-Paley operators weak Morrey spaces Ap weights |
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