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齐次Morrey-Herz空间中交换子的中心BMO估计 被引量:3

CMO Estimates for Commutators on the Homogeneous Morrey-Herz Spaces
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摘要 设T_b为广义Hardy算子和中心BMO函数生成的交换子,本文得到了该交换子在齐次加权Morrey-Herz空间中的有界性.而且,本文给出了带粗糙核的多线形奇异积分算子在齐次Morrey-Herz空间中的中心BMO估计. Let Tb be the commutator generated by generalized Hardy operator and CMO function. The author considers the boundedness of Tb on the weighted homogeneous Morrey-Herz space. Furthermore, the author obtains the CMO estimates for the commutators and multilinear singular integrals with rough kernels on the homogeneous Morrey-Herz spaces.
作者 傅尊伟
出处 《数学学报(中文版)》 SCIE CSCD 北大核心 2008年第6期1053-1060,共8页 Acta Mathematica Sinica:Chinese Series
基金 国家自然科学基金资助项目(G10571014)
关键词 广义Hardy算子 多线性奇异积分 交换子 generalized Hardy operator multilinear singular integral commutator
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