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被引量：2

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

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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）.

作者武江龙

机构地区牡丹江师范学院数学系

出处《纯粹数学与应用数学》 CSCD 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)

关键词交换子齐次MORREY-HERZ空间非二倍测度 RBMO(μ) 次线性算子 commutator, homogeneous Morrey-Herz space, non-doubling measure, RBMO（μ）, sublinear operator

分类号 O174 [理学—基础数学]

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参考文献11

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