非齐型齐次Morrey-Herz空间中某些次线性算子和交换子的有界性  

Boundedness of some sublinear operators and commutators on homogeneous Morrey-Herz spaces with non doubling measures

作　　者：武江龙[1] 

机构地区：[1]牡丹江师范学院数学系,黑龙江牡丹江157012

出　　处：《纯粹数学与应用数学》2009年第3期586-594,共9页Pure and Applied Mathematics

基　　金：牡丹江师范学院科研项目(KZ2008001)

摘　　要：在非齐型齐次Morrey-Herz空间MKp,qα,λ(μ)中建立了某些次线性算子的有界性,同时利用Calderón-Zygmund算子的L2(μ)有界性,在MKp,qα,λ(μ)上证明了由Calderón-Zygmund算子和RBMO(μ)函数生成的交换子的有界性.The boundedness of some sublinear operators is established on homogeneous Morrey-Herz spaces with non-doubling measures. At the same time, this paper using the L^2（μ） boundedness of Calderon-Zygmund operators to prove the boundedness of commutators generated by Calderon-Zygmund operators with RBMO（μ） functions on MKp,q^α,λ（μ）.

关 键 词：交换子 齐次MORREY-HERZ空间 非二倍测度 RBMO(μ) 次线性算子 

分 类 号：O174[理学—数学]