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Marcinkiewicz积分交换子在加权Herz—Morrey空间上的有界性
引用本文:孙爱文,束立生.Marcinkiewicz积分交换子在加权Herz—Morrey空间上的有界性[J].工科数学,2009(2):22-28.
作者姓名:孙爱文  束立生
作者单位:安徽师范大学计算机科学学院,安徽芜湖241000
基金项目:the NSF of China(10371087); NSF of Anhui Province (07021019); Edudcation Committee of Anhui Province (KJ2007A009)
摘    要:设μ^mΩ.b是由Marcinkiewicz积分μΩ和BMO函数b(x)生成的高阶交换子.本文介绍了加权Herz-Morrey空间,并对这类空间上的Marcinkiewicz积分高阶交换子进行了研究和估计.

关 键 词:Marcinkiewicz积分  交换子  加权Herz—Morrey空间

The Boundedness of the Marcinkiewicz Integrals Commutators on the Weighted Herz-Morrey Spaces
SUN Ai-wen,SHU Li-sheng.The Boundedness of the Marcinkiewicz Integrals Commutators on the Weighted Herz-Morrey Spaces[J].Journal of Mathematics For Technology,2009(2):22-28.
Authors:SUN Ai-wen  SHU Li-sheng
Institution:(College of Mathematics and Computer Science, Anhui Normal University, Wuhu 241000,China)
Abstract:Let μ^mΩ.b be the higher order commutator generated by Mareinkiewicz integral μΩ and a BMO (R^n) function b(x). In this paper, the weighted Herz-Morrey spaces are introduced and the estimates for Marcinkiewicz integral commutators on the weighted Herz-Morrey spaces are studied.
Keywords:Marcinkiewicz integral  commutators  the weighted Herz-Morrey spaces
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