| 齐次Morrey-Herz空间中交换子的中心BMO估计 |
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| 引用本文： | 傅尊伟.齐次Morrey-Herz空间中交换子的中心BMO估计[J].数学学报,2008,51(6):1053-106. |
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| 作者姓名： | 傅尊伟 |
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| 作者单位： | 临沂师范学院数学系 |
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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.
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| 关 键 词： | 广义Hardy算子 多线性奇异积分 交换子 |
| 收稿时间： | 2006-7-4 |
CMO Estimates for Commutators on the Homogeneous Morrey--Herz Spaces |
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| Institution: | Department of Mathematics, Linyi Normal University, Linyi 276005 |
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| Abstract: | Let ${\mathcal T}_{b}$
be the commutator generated by generalized Hardy operator and CMO
function. The author considers the boundedness of ${\mathcal
T}_{b}$ 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. |
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| Keywords: | generalized Hardy operator multilinear singular integral commutator |
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