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.
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.
出处
《数学学报（中文版）》
CSCD
北大核心
2016年第4期561-576,共16页
Acta Mathematica Sinica：Chinese Series
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)
