带粗糙核的积分算子在齐次空间上的有界性  

The Boundedness of Higher-order Commutators of Integral Operators with Rough Kernels on the Homogeneous Morrey-Herz Space

作　　者：张晓瑾[1] 刘瑞芹[1] 文小艳[1] 

机构地区：[1]华北科技学院,北京101601

出　　处：《淮阴工学院学报》2009年第3期27-34,共8页Journal of Huaiyin Institute of Technology

摘　　要：证明了一类带粗糙核的Carlderón-Zygmund奇异积分和CMO(Rn)函数生成的高阶交换子在齐次Morrey-Herz空间上的有界性;进而利用其与Marcinkiewicz积分算子的关系,得到带粗糙核的Marcinkiewicz积分高阶交换子在齐次空间Morrey-Herz上的有界性。In this paper, the boundedness for the higher - order commutator of Carlderon - Zygmund singular integrals with rough kernel on the homogeneous Morrey -Herz space is proved, which makes it possible to get the boundeness for the higher - order commutator of a class of Marcinkiewicz integrals with rough kernel on the homogeneous Morrey -Herz space.

关 键 词：交换子 Carlderón-Zygmund奇异积分 积分 Marcinkiewicz函数 Mowey-Herz空间 

分 类 号：O174[理学—数学]