极大算子交换子在各向异性Morrey-Herz空间上的有界性(英文)  

Boundedness of the Commutators of Maximal Operator on Anisotropic Morrey-Herz Spaces

作　　者：赵凯[1] 张荣欣[1] 任晓芳[2] 

机构地区：[1]青岛大学数学科学学院,山东青岛266071 [2]青岛大学师范学院数学系,山东青岛266071

出　　处：《应用数学》2011年第1期49-55,共7页Mathematica Applicata

基　　金：Supported by the NNSF-China Grant (10671115);the NSF of Shandong Province(ZR2010AM032)

摘　　要：本文引进了伴随伸缩矩阵A的各向异性齐次Morrey-Herz型空间,利用Hardy-Littlewod极大算子交换子的Lp有界性,证明了Hardy-Littlewod极大算子交换子在各向异性齐次Morrey-Herz型空间上的有界性,对于分数次Hardy-Littlewod极大算子交换子也得到了类似的结果.In this paper,the anisotropic Morrey-Herz type spaces associated with a nonisotropic dilation A on R＂ are introduced. Using the Lp boundedness and properties of the Hardy-Littlewood maximal operator,the boundedness of the commutators of the Hardy-Littlewood maximal operator on the homogeneous anisotropic Morrey-Herz type spaces is proved. The similar result is hold for the commutators of fractional maximal operator.

关 键 词：Hardy—Littlewod极大算子 交换子 各向异性 Morrey—Herz空间 有界性 

分 类 号：O174.2[理学—数学]