单边振荡积分的多线性交换子在加权Morrey空间上的有界性

吉林大学学报(理学版) ›› 2023, Vol. 61 ›› Issue (2): 251-258.

单边振荡积分的多线性交换子在加权Morrey空间上的有界性

程鑫¹, 张婉婧¹, 张婧^1,2

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

收稿日期:2022-05-05 出版日期:2023-03-26 发布日期:2023-03-26
通讯作者: 张婧 E-mail:zjmath66@126.com

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

CHENG Xin¹, ZHANG Wanjing¹, ZHANG Jing^1,2

1. College of Mathematics and Statistics, Yili Normal University, Yining 835000, Xinjiang Uygur Autonomous Region, China；
2. Institute of Applied Mathematics, Yili Normal University, Yining 835000, Xinjiang Uygur Autonomous Region, China

Received:2022-05-05 Online:2023-03-26 Published:2023-03-26

摘要/Abstract

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.

关键词: 单边振荡积分, 多线性交换子, 单边Morrey空间, 单边权

Abstract: 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.

Key words: one-sided oscillatory integral, multilinear commutator, one-sided Morrey space, one-sided weight

中图分类号:

O174.2

程鑫, 张婉婧, 张婧. 单边振荡积分的多线性交换子在加权Morrey空间上的有界性[J]. 吉林大学学报(理学版), 2023, 61(2): 251-258.

CHENG Xin, ZHANG Wanjing, ZHANG Jing. Boundedness of Multilinear Commutators for One-Sided Oscillatory Integral on Weighted Morrey Space[J]. Journal of Jilin University Science Edition, 2023, 61(2): 251-258.