参数型Marcinkiewicz积分交换子在变指数Herz-Morrey空间的加权有界性  

Boundedness for commutators of parameterized Marcinkiewicz integral on weighted Herz-Morrey spaces with variable exponent

作　　者：辛银萍 XIN Yin-ping(School of Information Engineering,Lanzhou University of Finance and Economics,Lanzhou 730010,Gansu,China)

机构地区：[1]兰州财经大学信息工程学院,甘肃兰州730010

出　　处：《山东大学学报（理学版）》2021年第4期66-75,85,共11页Journal of Shandong University(Natural Science)

基　　金：甘肃省高等学校创新能力提升资助项目(2020B-142)。

摘　　要：建立了参数型Marcinkiewicz积分在一类变指标Lebesgue空间上的加权有界性,进一步运用函数分层分解和权不等式等工具,得到了参数型Marcinkiewicz积分与有界平均振荡函数(function of bounded mean oscillation,BMO) b生成的高阶交换子在加权变指数Herz空间与加权变指数Herz-Morrey空间上的有界性。The weighted boundedness of parameterized Marcinkiewicz integral on a class of generalized Lebesgue spaces with variable exponent is established.Furthermore,by using hierarchical decomposition of functions and the weighted inequalities,the boundedness of the higher order commutators generated by parameterized Marcinkiewicz integral and function of bounded mean oscillation(BMO) b on weighted Herz spaces and weighted Herz-Morrey spaces with variable exponent are obtained.

关 键 词：参数型MARCINKIEWICZ积分 交换子 加权变指数Herz空间 加权变指数Herz-Morrey空间 

分 类 号：O174.22[理学—数学]