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）.
作者
何随心
周疆
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)
出处
《湖南师范大学自然科学学报》
CAS
北大核心
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)
