具有非倍测度的参数型Littlewood-Paley算子交换子在Morrey空间的有界性  

Boundedness of Commtuators of Parametric Littlewood-Paley on Morrey Spaces with Non-Doubling Measures

作　　者：何随心 周疆[2] HE Sui-xin;ZHOU Jiang(College of Mathematics and Statistics, Yili Normal Universty, Yili 835000, China;College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China)

机构地区：[1]伊犁师范学院数学学院与统计学院,中国伊犁835000 [2]新疆大学数学与系统科学学院,中国乌鲁木齐830046

出　　处：《湖南师范大学自然科学学报》2018年第2期72-77,共6页Journal of Natural Science of Hunan Normal University

基　　金：国家自然科学基金资助项目(11661075);伊犁师范学院博士基金项目(2017YSBS09)

摘　　要：本文证明了参数型Littlewood-Paley算子M*,ρλ和Lipschitz函数b生成的交换子M*,ρλ,b的有界性.在M*,ρλ的核函数满足一类H9ramnder型条件下,证明了M*,ρλ,b是从Morrey空间Mpq(μ)到Morrey空间Mst(μ)有界.In this paper,we prove the boundedness of the commutator M＊,ρλ,bgenerated by the parameter M＊,ρλwith Lipschitz function b. Under the assumption that the kernel of M＊λsatisfies certain condition,we prove that M＊,ρλ,bis bounded from the Morrey space Mqp（ μ） to the Morrey space Mst（μ）.

关 键 词：非倍测度 gλ＊函数Mλ＊ ρ Lipβ(μ)函数 MORREY空间 

分 类 号：O174.2[理学—数学]