变量核奇异积分交换子在齐次Morrey-Herz空间上的有界性  

The Boundedness of Singular Integral Commutators with Variable Kernels on Homogeneous Morrey-Herz Spaces

作　　者：崔建斌[1] 邵旭馗[1] CUI Jian-bin SHAO Xu-kui(School of Mathematics and Statistics, LongDong University, Qingyang 745000, Gans)

机构地区：[1]陇东学院数学与统计学院,甘肃庆阳745000

出　　处：《陇东学院学报》2017年第1期6-10,共5页Journal of Longdong University

基　　金：甘肃省高等学校科研项目<一类变量核奇异积分算子及其交换子的有界性研究>(2015A-147)

摘　　要：利用核函数Ω(x,y)的相关性质,考虑了一类带变量核的Carlderón-Zygmund奇异积分算子和CBMO(Rn)函数生成的高阶交换子T→bΩ在齐次Morrey-Herz空间上的有界性,证明了当Ω(x,y)满足零阶齐次条件与消失距条件时,带变量核的Carlderón-Zygmund奇异积分算子和CBMO(Rn)函数生成的高阶交换子T→bΩ是齐次Morrey-Herz空间上的有界算子,从而推广了以往非变量核的相关结果。By using the properties of kernel function Ω,the boundedness for the higher-order commutator T→bΩgenerated by Carlderón-Zygmund singular integrals and CBMO（Rn） functions with vriable kernel on the homogeneous Morrey-Herz space were considered.It is proved that the T→bΩare bounded operators on the Morrey-Herz space when the function Ω meet the zero order homogeneous conditions and vanishing moment condition,which extends no-variable kernel results that have been achieved in previous research.

关 键 词：Carlderón-Zygmund奇异积分 交换子 齐次MORREY-HERZ空间 变量核 

分 类 号：O174.2[理学—数学]