| 带变量核的Marcinkiewicz算子交换子在加权Herz空间上的有界性 |
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| 引用本文： | 闫健,束立生.带变量核的Marcinkiewicz算子交换子在加权Herz空间上的有界性[J].数学杂志,2014,34(3):529-538. |
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| 作者姓名： | 闫健 束立生 |
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| 作者单位： | 安徽师范大学数学计算机科学学院; |
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| 基金项目： | 安徽省高校自然科学项目基金资助(KJ2011A138;KJ2012Z129) |
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| 摘 要： | 本文研究了带变量核的Marcinkiewicz算子交换子的有界性问题.利用其在Lp(ω)空间上有界的方法,获得了该交换子在加权Herz空间上有界的结果.
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| 关 键 词： | 变量核 Marcinkiewicz积分算子 交换子 加权Herz空间 |
| 收稿时间： | 2013/1/5 0:00:00 |
| 修稿时间： | 2013/4/18 0:00:00 |
BOUNDEDNESS OF COMMUTATORS OF MARCINKIEWICZINTEGRALS WITH VARIABLE KERNELON WEIGHTED HERZ SPACES |
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| YAN Jian and SHU Li-sheng.BOUNDEDNESS OF COMMUTATORS OF MARCINKIEWICZINTEGRALS WITH VARIABLE KERNELON WEIGHTED HERZ SPACES[J].Journal of Mathematics,2014,34(3):529-538. |
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| Authors: | YAN Jian and SHU Li-sheng |
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| Institution: | College of Mathematics and Computer Science, Anhui Normal University, Wuhu 241003, China and College of Mathematics and Computer Science, Anhui Normal University, Wuhu 241003, China |
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| Abstract: | In this paper, the problem of the boundedness of the commutators of Marcinkiewicz integrals with variable kernel is studied. Using the method of their boundedness on weighted Lp spaces, we obtain the result of their boundedness on weighted Herz spaces. |
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| Keywords: | variable kernel Marcinkiewicz integral commutator weighted Herz space |
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