极大粗糙高阶交换子在Morrey-Herz空间上的有界性  

Boundedness of the Higher Order Commutators on the Homogeneous Anisotropic Morrey-Herz Space

作　　者：王永刚[1] 赵凯[1] 董鹏娟[1] 刘素英[1] 

机构地区：[1]青岛大学数学科学学院,山东青岛266071

出　　处：《青岛大学学报（自然科学版）》2009年第1期26-30,共5页Journal of Qingdao University(Natural Science Edition)

摘　　要：对于由BMO(Rn)函数与Hardy-Littlewood极大粗糙算子所生成的高阶交换子在齐次Morry-Herz空间上的有界性已有结果,这里证明了在各向异性Morry-Herz空间上此交换子的有界性。类似于这种方法,可以把在Rn上的更一般的各向齐性伸缩空间上的有界性推广到各向异性的伸缩空间中。The boundedness of some higher order commutators,which is formed by Hardy-Littlewood maximal operators with rough kernels and a BMO（Rn）,have been obtained on the homogeneous Morrey-Herz spaces.However,the boundedness of this commutator is proved on Anisotropic Morrey-Herz spaces in this paper.Similarly,we can extend the general boundedness on homogeneous spaces into anisotropic spaces on Rn.

关 键 词：各向异性 Morry-Herz空间 粗糙高阶交换子 

分 类 号：O174.2[理学—数学]