极大算子及其交换子在齐次树上的加权估计  

Weighted Estimates of Maximal Operators and Their Commutators on Homogeneous Trees

作　　者：姜智聪 叶晓峰 熊守龙 JIANG Zhicong;YE Xiaofeng;XIONG Shoulong(School of Science,East China Jiaotong University,Nanchang 330013,China)

机构地区：[1]华东交通大学理学院,南昌330013

出　　处：《吉林大学学报（理学版）》2024年第4期793-799,共7页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11661035)。

摘　　要：在齐次树中考虑一类测度,它到原点的距离是指数递减的.给出齐次树中关于这类测度的Lebesgue空间、 BMO(bounded mean oscillation)空间、极大算子及其交换子的定义,并利用齐次树的分解理论,证明极大算子及其交换子在Lebesgue空间的有界性及一些等价性质.A class of measures is considered on homogeneous trees whose distance to the origin is exponentially decreasing.The definitions of Lebesgue spaces,BMO(bounded mean oscillation)spaces,maximal operators and their commutators for this type of measure on homogeneous trees are given.By using the decomposition theory of homogeneous trees,the boundedness of maximal operators and their commutators in Lebesgue spaces and some equivalent properties are proved.

关 键 词：齐次树 极大算子 交换子 指数递减测度 

分 类 号：O177[理学—数学]