| 带粗糙核的Marcinkiewicz积分算子在加权Morrey-Herz空间的有界性 |
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| 引用本文： | 肖强,司颖华. 带粗糙核的Marcinkiewicz积分算子在加权Morrey-Herz空间的有界性[J]. 徐州师范大学学报(自然科学版), 2010, 28(3): 17-20 |
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| 作者姓名： | 肖强 司颖华 |
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| 作者单位： | 兰州商学院,统计学院,甘肃,兰州,730020 |
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| 基金项目： | 国家自然科学基金资助项目，兰州商学院科研资助项目 |
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| 摘 要： | 利用带粗糙核的Marcinkiewicz积分算子在LP空间和齐次Morrey-Herz空间M.Kpα,,λq（Rn）上的有界性,证明了它在更广泛的一类空间即加权Morrey-Herz空间M.Kαp,,λq（ω1,ω2）上的有界性.
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| 关 键 词： | 加权Morrey-Herz空间 Marcinkiewicz积分算子 粗糙核 |
Boundedness of Marcinkiewicz integral operator with rough kernel on the weighted Morrey-Herz spaces |
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| XIAO Qiang,SI Yinghua. Boundedness of Marcinkiewicz integral operator with rough kernel on the weighted Morrey-Herz spaces[J]. Journal of Xuzhou Normal University(Natural Science Edition), 2010, 28(3): 17-20 |
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| Authors: | XIAO Qiang SI Yinghua |
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| Affiliation: | XIAO Qiang,SI Yinghua (School of Statistics,Lanzhou University of Finance & Economics,Lanzhou 730020,Gansu,China) |
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| Abstract: | By using the boundedness of Marcinkiewicz integral operator with rough kernel on the Lp space and the homogeneous Morrey-Herz spaces,it is proved that the Marcinkiewicz integral operator with rough kernel also has boundedness on the weighted Morrey-Herz space. |
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| Keywords: | weighted Morrey-Herz space Marcinkiewicz integral operator rough kernel |
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