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The Boundedness of Littlewood-Paley Operators with Rough Kernels on Weighted (L^q , L^p )~α (R^n) Spaces 被引量：5

The Boundedness of Littlewood-Paley Operators with Rough Kernels on Weighted (L^q , L^p )~α (R^n) Spaces
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摘要 In this paper, we shall deal with the boundedness of the Littlewood-Paley operators with rough kernel. We prove the boundedness of the Lusin-area integral μΩs and Littlewood-Paley functions μΩ and μλ^＊ on the weighted amalgam spaces （Lω^q,L^p）^α（R^n）as 1〈q≤α〈p≤∞. In this paper, we shall deal with the boundedness of the Littlewood-Paley operators with rough kernel. We prove the boundedness of the Lusin-area integral μΩs and Littlewood-Paley functions μΩ and μλ^＊ on the weighted amalgam spaces （Lω^q,L^p）^α（R^n）as 1〈q≤α〈p≤∞.
作者 Ximei Wei Shuangping Tao
机构地区 College of Mathematics and Statistics
出处 《Analysis in Theory and Applications》 2013年第2期135-148,共14页 分析理论与应用（英文刊）
基金 supported in part by National Natural Foundation of China (Grant No. 11161042 and No. 11071250)
关键词 Littlewood-Paley operator weighted amalgam space rough kernel Ap weight. Littlewood-Paley operator, weighted amalgam space, rough kernel, Ap weight.
分类号 O177 [理学—基础数学]
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参考文献15

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同被引文献19

  • 1XUE QingYing,DING Yong.Weighted estimates for the multilinear commutators of the Littlewood-Paley operators[J].Science China Mathematics,2009,52(9):1849-1868. 被引量：8
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引证文献5

二级引证文献13

Analysis in Theory and Applications
2013年 第2期

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