带粗糙核的积分算子交换子在Morrey-Herz空间上的有界性  

Boundedness for the Commutators of Integral Operators with Rough Kernel on Morrey-Herz Spaces

作　　者：吴翠兰[1] 束立生[2] 

机构地区：[1]江苏师范大学数学与统计学院,江苏徐州221116 [2]安徽师范大学数学与计算机学院,安徽芜湖241003

出　　处：《四川师范大学学报（自然科学版）》2013年第5期696-702,共7页Journal of Sichuan Normal University（Natural Science）

基　　金：国家自然科学基金(10771212)资助项目

摘　　要：设Tb,mΩ和Tb,mΩ,μ是由奇异积分算子TΩ和分数次积分算子TΩ,μ分别与BMO函数生成的高阶交换子,在Morrey-Herz空间上建立了高阶交换子Tb,mΩ和Tb,mΩ,μ的有界性.已知奇异积分算子TΩ和分数次积分算子TΩ,μ在Lp空间上的有界性结果,利用截断算子方法和函数分解技术,并借助于Minkowski不等式和Hlder不等式,证明了Tb,mΩ和Tb,mΩ,μ从MKα1,λp,q1到MKα2,λp,q2是有界的.Suppose that TbΩm and TbΩmμ are higher order commutators generated by singular integral operator TΩ and fractional integral operator TΩμ with b ∈BMO（Rn） respectively. Some boundedness results are established on Morrey-Herz spaces for the commutators TΩμ and T The boundedness results have been obtained on Lp space for singular integral operator Ta and fractional integral operator Ta＋. By using the truncated operator methods and the techniques of function compositions and applying Minkowski inequality and Holder inequality, we prove that T and T are bounded from MK to MK.

关 键 词：Morrey—Herz空间 BMO空间 交换子 粗糙核 

分 类 号：O174.2[理学—数学]