%0 Journal Article
%T Littlewood-Paley算子及其交换子在变指数Herz空间上的有界性<br>Boundedness of the Littlewood-Paley operators and cummutators on the Herz spaces with variable exponents
%A 王杰
%A 瞿萌
%A 束立生&lt
%A br&gt
%A WANG Jie
%A QU Meng
%A SHU Li-sheng
%J 山东大学学报（理学版）
%D 2016
%R 10.6040/j.issn.1671-9352.0.2015.123
%X 摘要： 研究了Littlewood-Paley积分算子(包括Lusin面积积分函数,Littlewood-Paley g函数和 g*λ函数)及其与BMO函数生成的高阶交换子在具有两个变指数p(·),α(·)的Herz空间上的有界性, 这里p(·),α(·)均满足一定的连续性条件。<br>Abstract: The main result in the paper is the boundedness of the Littlewood-Paley integral operators(include Lusin area integral function, Littlewood-Paley g and g*λ)and its higher order commutators generated by BMO fucntions on the Herz spaces with two variable exponents p(·),α(·), where p(·),α(·) satisfies some continuous condition
%K 变指数
%K 高阶交换子
%K Littlewood-Paley积分算子
%K Herz 空间
%K &lt
%K br&gt
%K variable exponent
%K Littlewood-Paley integral operator
%K higher order commutator
%K Herz space
%U http://lxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1671-9352.0.2015.123