沿复合子簇的粗糙核极大算子

刘风

数学学报 ›› 2016, Vol. 59 ›› Issue (4) : 561-576.

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数学学报 ›› 2016, Vol. 59 ›› Issue (4) : 561-576. DOI: 10.12386/A2016sxxb0052
论文

沿复合子簇的粗糙核极大算子

    刘风
作者信息 +

Rough Maximal Operators Supported by Compound Subvarieties

    Feng LIU
Author information +
文章历史 +

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Lp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Lp有界性也被建立.

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.

关键词

奇异积分 / Marcinkiewicz积分 / 极大函数 / 粗糙核 / 复合子簇

Key words

singular integrals / Marcinkiewicz integrals / maximal functions / rough kernels / compound subvarieties

引用本文

导出引用
刘风. 沿复合子簇的粗糙核极大算子. 数学学报, 2016, 59(4): 561-576 https://doi.org/10.12386/A2016sxxb0052
Feng LIU. Rough Maximal Operators Supported by Compound Subvarieties. Acta Mathematica Sinica, Chinese Series, 2016, 59(4): 561-576 https://doi.org/10.12386/A2016sxxb0052

参考文献

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基金

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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