单边振荡积分的多线性交换子在加权Morrey空间上的有界性  

Boundedness of Multilinear Commutators for One-Sided Oscillatory Integral on Weighted Morrey Space

作　　者：程鑫 张婉婧 张婧 CHENG Xin;ZHANG Wanjing;ZHANG Jing(College of Mathematics and Statistics,Yili Normal University,Yining 835000,Xinjiang Uygur Autonomous Region,China;Institute of Applied Mathematics,Yili Normal University,Yining 835000,Xinjiang Uygur Autonomous Region,China)

机构地区：[1]伊犁师范大学数学与统计学院,新疆伊宁835000 [2]伊犁师范大学应用数学研究所,新疆伊宁835000

出　　处：《吉林大学学报（理学版）》2023年第2期251-258,共8页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:12261083);新疆维吾尔自治区自然科学基金(批准号:2021D01C463);伊犁师范大学“学实高层次人才岗位”项目(批准号:YSXSJS22001).

摘　　要：先利用单边权的外推法建立奇异积分和分数次积分与BMO函数生成的多线性交换子在加权Lebesgue空间上的有界性,再在此基础上,进一步研究单边振荡型积分这类交换子在单边Morrey空间上的加权有界性.Firstly,using extrapolation method of one-sided weights,we established the boundedness of multilinear commutators generated by singular integral and fractional integral with function in BMO on weighted Lebesgue spaces.Secondly,on this basis,we further studied the weighted boundedness of this kind of commutators of one-sided oscillatory integrals on one-sided Morrey spaces.

关 键 词：单边振荡积分 多线性交换子 单边Morrey空间 单边权 

分 类 号：O174.2[理学—数学]