| Hardy-Littlewood最大算子的两个推广 |
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| 引用本文： | 高红亚,赵洪亮.Hardy-Littlewood最大算子的两个推广[J].高校应用数学学报(英文版),2006,21(1):59-63. |
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| 作者姓名： | 高红亚 赵洪亮 |
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| 作者单位： | [1]College of Mathematics and Computer Science ,Hebei University, Baoding 071002,China, [2]Department of Mathematics,Qingdao Institute of Architecture and Engneering,Qingdao 266033,China. |
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| 摘 要： | §1IntroductionHardy-Littlewood maximal operator has wide applications in many fields,such asquasiconformal analysis,partial differential equations(PDEs)and harmonic analysis.LetΩbe an open subset of Rn,the Hardy-Littlewood maximal operator is defined on Ll1oc(Ω)by the ruleMh(x)=MΩh(x)=sup∫-B(x,t)h(y)dy:0
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| 关 键 词： | Hardy-Littlewood最大算子 弱算子 Morrey算子 Hausdorff测度 |
| 收稿时间： | 2004-07-26 |
Two generalizations of hardy-littlewood maximal operator |
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| Gao Hongya,Zhao Hongliang.Two generalizations of hardy-littlewood maximal operator[J].Applied Mathematics A Journal of Chinese Universities,2006,21(1):59-63. |
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| Authors: | Gao Hongya Zhao Hongliang |
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| Institution: | (1) College of Mathematics and Computer Science, Hebei University, 071002 Baoding, China;(2) Department of Mathematics, Qingdao Institute of Architecture and Engneering, 266033 Qingdao, China |
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| Abstract: | Two generalizations of Hardy-Littlewood maximal operator are considered. Some estimates for them are obtained. |
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| Keywords: | Hardy-Littlewood maximal operator weak maximal operator spherical average Morrey type operator outer Hausdorff measure |
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