带粗糙核的参数型Marcinkiwicz积分交换子在齐次Morrey-Herz空间上的有界性  

Boundness of Commutators of the Parametric Marcinkiewicz Integral with Rough Kernels on the Homogeneous Morrey-Herz Spaces

作　　者：张爱翠 陈金阳 王松柏 江秉华 

机构地区：[1]f湖北师范大学数学与统计学院,湖北黄石435002

出　　处：《应用数学》2018年第1期141-147,共7页Mathematica Applicata

基　　金：国家自然科学基金(71701076,11471105); 湖北省教育厅青年项目(Q20162504)

摘　　要：本文研究一类带粗糙核的参数型Marcinkiwicz积分算子与BMO(R^n)函数生成的交换子μ_(?,b)~ρ在齐次Morrey-Herz空间MK˙_(p,q)^(α,λ)(R^n)上的有界性,利用经典调和分析的方法和实变技巧,证明了μ_(?,b)~ρ是从MK˙_(p,q)^(α,λ)(R^n)到MK˙_(p,q)^(α,λ)(R^n)上有界的.In this paper, we study the boundedness of the commutators μ_（？,b）~ρ, which is generated by the parametric Marcinkiewicz integral operators with rough kernels and BMO（R^n） functions on the homogeneous Morrey-Herz space MK˙_（p,q）^（α,λ）（R^n）. Using some classical methods in Harmonic analysis and techniques in the theory of real variables, we prove that μ_（？,b）~ρ is bounded from MK˙_（p,q）^（α,λ）（R^n） to MK˙_（p,q）^（α,λ）（R^n）with suitable indices.

关 键 词：MORREY-HERZ空间 参数型Marcinkiwicz积分 交换子 粗糙核 

分 类 号：O175.25[理学—数学]