Parameterized Littlewood-Paley Operators and Their Commutators on Lebesgue Spaces with Variable Exponent  

作　　者：Lijuan Wang Shuangping Tao 

机构地区：[1]College of Mathematics and Statistics Science, Northwest Normal University

出　　处：《Analysis in Theory and Applications》2015年第1期13-24,共12页分析理论与应用（英文刊）

基　　金：supported by National Natural Foundation of China (Grant Nos. 11161042 and 11071250)

摘　　要：In this paper, by applying the technique of the sharp maximal function and the equivalent representation of the norm in the Lebesgue spaces with variable exponent, the boundedness of the parameterized Litflewood-Paley operators, including the parameterized Lusin area integrals and the parameterized Littlewood-Paley gλ^＊- functions, is established on the Lebesgue spaces with variable exponent. Furthermore, the boundedness of their commutators generated respectively by BMO functions and Lipschitz functions are also obtained.In this paper, by applying the technique of the sharp maximal function and the equivalent representation of the norm in the Lebesgue spaces with variable exponent, the boundedness of the parameterized Litflewood-Paley operators, including the parameterized Lusin area integrals and the parameterized Littlewood-Paley gλ^＊- functions, is established on the Lebesgue spaces with variable exponent. Furthermore, the boundedness of their commutators generated respectively by BMO functions and Lipschitz functions are also obtained.

关 键 词：Parameterized Littlewood-Paley operators COMMUTATORS Lebesgue spaces with variable exponent. 

分 类 号：O177[理学—数学]