吉林大学学报（理学版）2024，Vol.62Issue(4)：793-799,7.DOI:10.13413/j.cnki.jdxblxb.2023467
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
摘要
Abstract
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Key words
homogeneous tree/maximal operator/commutator/exponential decline measure分类
数理科学引用本文复制引用
姜智聪,叶晓峰,熊守龙..极大算子及其交换子在齐次树上的加权估计[J].吉林大学学报（理学版）,2024,62(4):793-799,7.基金项目
国家自然科学基金(批准号:11661035). （批准号:11661035）
