| 沿复合子簇的粗糙核极大算子 |
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| 引用本文： | 刘风.沿复合子簇的粗糙核极大算子[J].数学学报,2016,59(4):561-576. |
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| 作者姓名： | 刘风 |
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| 作者单位： | 山东科技大学数学与系统科学学院 青岛 266590 |
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| 基金项目： | 国家自然科学基金数学天元基金(11526122);山东省优秀中青年科学家科研奖励基金(BS2015SF012);山东科技大学人才引进科研启动基金(2015RCJJ053) |
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| 摘 要： | 给出了两类相关于沿复合子簇的粗糙核奇异积分的极大算子的L~p有界性,本质上极大地改进和一般化了已有的结果.作为应用,相关的奇异积分,Marcinkiewicz积分和相应的极大算子的L~p有界性也被建立.
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| 关 键 词： | 奇异积分 Marcinkiewicz积分 极大函数 粗糙核 复合子簇 |
Rough Maximal Operators Supported by Compound Subvarieties |
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| Feng LIU.Rough Maximal Operators Supported by Compound Subvarieties[J].Acta Mathematica Sinica,2016,59(4):561-576. |
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| Authors: | Feng LIU |
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| Institution: | College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, P. R. China |
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| Abstract: | The author establishes the Lp boundedness of two classes of maximal operators related to rough singular integrals supported by compound subvarieties. Our main results greatly improve and generalize some known results. As applications, several Lp estimates of singular integrals, Marcinkiewicz integrals and maximal operators related to Marcinkiewicz integrals are also obtained. |
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| Keywords: | singular integrals Marcinkiewicz integrals maximal functions rough kernels compound subvarieties |
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