Morrey空间上Marcinkiewicz积分与■交换子  

Commutators of Marcinkiewicz Integrals with ■ on Morrey Spaces

作　　者：陶双平 逯光辉 Shuang Ping TAO;Guang Hui LU(College of Mathematics and Statistics,Northwest Normal University, Lanzhou 730070,P.R.China)

机构地区：[1]西北师范大学数学与统计学院,兰州730070

出　　处：《数学学报（中文版）》2019年第2期269-278,共10页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金资助项目(11561062);博士科研启动基金资助项目(0002020203)

摘　　要：本文建立了Marcinkiewicz积分M与具离散系数的正则有界平均振荡空间■生成的交换子M_b在非齐性度量测度空间上的有界性.在控制函数λ满足∈-弱反双倍条件的假设下,当p∈(1,∞)时,证明了M_b在L^P(μ)上是有界的.另外,还得到了M_b在Morrey空间上的有界性.This paper establishes the boundedness of the commutator M_b generated by the Marcinkiewicz integral M and the regularized bounded mean oscillation space with the discrete coefficient RBMO(μ) over non-homogeneous metric measure space.Under the assumption that the dominating function λ satisfies the e-weak reverse doubling condition, when p ∈(1,∞), the authors prove that the Mb is bounded on the Lebesgue space Lp(μ). Furthermore, the boundedness of the Mb on the Morrey space is also obtained.

关 键 词：非齐性度量测度空间 MARCINKIEWICZ积分 交换子 RBMO(μ)空间 MORREY 空间 

分 类 号：O174.2[理学—数学]