| 非倍测度条件下Marcinkiewicz积分及其交换子在Morrey空间中的有界性 |
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| 引用本文： | 张婧,李亮.非倍测度条件下Marcinkiewicz积分及其交换子在Morrey空间中的有界性[J].纯粹数学与应用数学,2010,26(1):131-137. |
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| 作者姓名： | 张婧 李亮 |
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| 作者单位： | 伊犁师范学院数学系应用数学研究所,新疆,伊宁,835000 |
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| 基金项目： | 新疆维吾尔自治区高校科研计划青年教师科研启动基金(XJEDU2008S58);;伊犁师范学院青年项目(2009-31) |
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| 摘 要： | 讨论了测度μ在满足非倍条件下，Marcinkiewicz积分算子及其与RBMO（μ）函数、Lipschitz函数生成的交换子的有界性，通过Marcinkiewica积分及该交换子在Lebesgue空间中的有界性，得到了该算子及交换子在非齐型空间上的Morrey空间中的有界性．
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| 关 键 词： | Marcinkiewicz积分 交换子 RBMO（μ）函数 Lipschitz函数 Morrey空间 |
The boundedness of Marcinkiewicz integral commutators on morrey spaces with non doubling measures |
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| ZHANG Jing,LI Liang.The boundedness of Marcinkiewicz integral commutators on morrey spaces with non doubling measures[J].Pure and Applied Mathematics,2010,26(1):131-137. |
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| Authors: | ZHANG Jing LI Liang |
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| Institution: | Department of Mathematics;Institute of Applied Mathematics;Ili Normal University;Yining 835000;China |
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| Abstract: | In this paper, the authors discusses the boundedness of a class of Marcinkiewicz integral and commutators generated by the Marcinkiewicz integral with RBMO（μ） functions or Lipschitz functions , under the assumption that μ is a non-doubling measure on r^d. By means of the boudedness of Marcinkiewicz integral and the commutaters on Lebesgue space, the authors obtain the boundedness of Marcinkiewicz integral and the commutaters on Morrey space with non-doubling measures. |
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| Keywords: | Marcinkiewicz integral commutators Lipschitz functions Morrey spaces |
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