变指数Lebesgue空间上Littlewood-Paley算子的多线性交换子（英文）  

ON MULTILINEAR COMMUTATORS OF THE LITTLEWOOD-PALEY OPERATORS IN VARIABLE EXPONENT LEBESGUE SPACES

作　　者：王立伟 束立生[2] WANG Li-wei;SHU Li-sheng(School of Mathematics and Physics,Anhui Polytechnic University,Wuhu 241000,China;School of Mathematics and Computer Science,Anhui Normal University,Wuhu 241003,China)

机构地区：[1]安徽工程大学数理学院,安徽芜湖241000 [2]安徽师范大学数学计算机科学学院,安徽芜湖241003

出　　处：《数学杂志》2018年第5期822-834,共13页Journal of Mathematics

基　　金：Supported by National Natural Science Foundation of China(11471033)

摘　　要：本文研究了Littlewood-Paley算子的多线性交换子在变指数Lebesgue空间上的有界性.基于原子分解和广义BMO范数,证明了这类多线性交换子在变指数Herz型Hardy空间上的有界性,推广了一些已知结果.In this paper,we study the boundedness of multilinear commutators of the Littlewood-Paley operators in variable exponent Lebesgue spaces.Based on the atomic decom-position and generalization of the BMO norms,we also prove some boundedness results for such multilinear commutators in variable exponent Herz-type Hardy spaces,which essentially extend some known results.

关 键 词：LITTLEWOOD-PALEY算子 变指数 HERZ型HARDY空间 交换子 

分 类 号：O174.2[理学—数学]