分数次Hardy算子的交换子在Lipschitz空间上的端点估计  

Endpoint Estimates of the Commutator of Fractional Hardy Operator in the Lipschitz Space

作　　者：郭庆栋 周疆[1] GUO Qing-dong;ZHOU Jian(School of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China)

机构地区：[1]新疆大学数学与系统科学学院

出　　处：《西南大学学报（自然科学版）》2019年第8期41-47,共7页Journal of Southwest University(Natural Science Edition)

基　　金：国家自然科学基金项目(11826202,11661075)

摘　　要：主要研究分数次Hardy算子和Lipschitz函数生成的交换子在Lipschitz空间上的端点估计.分数次积分算子的方法不适用于分数次Hardy算子,将给出新的方法,同时也将考虑分数次极大算子的交换子的结果.In this paper, we mainly study the endpoint estimates of the commutators generated by fractional Hardy operators with Lipschitz functions in the Lipschitz space. In addition, the method of fractional integral operator is not suitable for the fractional Hardy operator, for which this paper gives a new method. The results of commutators of fractional maximal operators are also considered.

关 键 词：分数次Hardy算子的交换子 LIPSCHITZ空间 端点估计 分数次极大算子 

分 类 号：O174.2[理学—数学]