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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. |
| 关键词: 变量核 Marcinkiewicz积分算子 交换子 加权Herz空间 |
| DOI： |
| 分类号:O174.2 |
| 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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| BOUNDEDNESS OF COMMUTATORS OF MARCINKIEWICZINTEGRALS WITH VARIABLE KERNELON WEIGHTED HERZ SPACES |
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YAN Jian,SHU Li-sheng
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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. |
| Key words: variable kernel Marcinkiewicz integral commutator weighted Herz space |
