加权Morrey空间上多线性奇异积分的振荡及变分算子的有界性  

Boundedness of Oscillation and Variation Operators forMultilinear Singular Integrals on Weighted Morrey Spaces

作　　者：朱敏 陶双平 ZHU Min;TAO Shuangping(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,China)

机构地区：[1]西北师范大学数学与统计学院,兰州730070

出　　处：《吉林大学学报（理学版）》2021年第4期719-724,共6页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11561062).

摘　　要：借助L^(p)空间上的估计,利用A_(p)权不等式和函数分解方法,给出多线性奇异积分和有界平均振荡(BMO)函数交换子的振荡及变分算子在加权Morrey空间上的有界性.By means of the estimation on L^(p)space,and by using A_(p)weight inequality and function decomposition method,we gave the boundedness of the oscillation and variation operators for the commutators of the multilinear singlar integrals with bounded mean oscillation(BMO)functions on the weighted Morrey spaces.

关 键 词：加权Morrey空间 多线性奇异积分 振荡算子 变分算子 

分 类 号：O174.2[理学—数学]