Compactness characterization of commutators for Littlewood-Paley operators

Kodai Mathematical Journal

Yanping Chen²  Yong Ding¹ 

[1] School of Mathematical Sciences Beijing Normal University Laboratory of Mathematics and Complex Systems (BNU) Ministry of Education;Department of Mathematics and Mechanics Applied Science School University of Science and Technology Beijing

关键词: Littlewood-Paley operators;    Commutators;    Compactness;    BMO;    VMO;   

DOI  :  10.2996/kmj/1245982907

学科分类：数学（综合）

来源: Tokyo Institute of Technology, Department of Mathematics

【 摘 要 】

References(36)In this paper, the authors prove that the commutator [b,L] is a compact operator in Lp(Rn) if and only if b ∈ VMO(Rn), where L denotes the Littlewood-Paley operators, such as the Littlewood-Paley g-function, Lusin area integral and Littlewood-Paley gλ* function.

【 授权许可】

Unknown