分数次极大算子及交换子在Morrey空间上的加权估计
Weighted estimates of fractional maximal operator and its commutator on Morrey spaces
刘占宏 1陶双平1
作者信息
- 1. 西北师范大学数学与统计学院,甘肃兰州 730070
- 折叠
摘要
利用权不等式以及调和分析的实变方法,证明粗糙核分数次极大算子在加权Morrey空间上的有界性,并且得到粗糙核分数次极大算子与BMO函数生成的交换子的加权有界性.
Abstract
By applying the weighted inequality and the real variable methods of harmonic analysis,the boundedness of the fractional maximal operator with rough kernel is proved on the weighted Morrey space.Meanwhile,the weighted boundedness of its commuta-tor generated by BMO function is also obtained.
关键词
加权Morrey空间/分数次极大算子/交换子/BMO函数Key words
weighted Morrey space/fractional maximal operator/commutator/BMO function引用本文复制引用
基金项目
国家自然科学基金资助项目(12201500)
出版年
2024
NETL
NSTL
万方数据