非二倍测度下一类次线性交换子在Morrey-Herz空间上的有界性  

Boundedness of the Sublinear Commutator on Morrey-Herz Spaces with Non-doubling Measures

作　　者：何儒彬[1] 陶双平[1] 

机构地区：[1]西北师范大学数学与信息科学学院,甘肃兰州730070

出　　处：《甘肃联合大学学报（自然科学版）》2007年第5期7-11,共5页Journal of Gansu Lianhe University :Natural Sciences

摘　　要：奇异积分理论特别是Calderón-Zygmund算子广泛应用于偏微分方程及其它相关领域的研究.本文证明了非二倍测度下,交换子[a,T]在齐次Morrey-Herz空间上的有界性,其中a∈RBMO(μ),T为次线性算子.　The theory of singular integrals,especially the commutator of Calderón-Zygmund operator,has been extensively applied to the partial differential equations and other pertinent fields.In this paper,the author obtains the boundedness of the commutator [α,T] on homogeneous Morrey-Herz spaces with non-doubling measures where α ∈RBMO（μ）,T is a sublinear operator.

关 键 词：非二倍测度 MORREY-HERZ空间 RBMO(μ) 交换子 

分 类 号：O174.2[理学—数学]