| 陶双平,李露露.变指标 Morrey 空间上的 Marcinkiewicz 积分及交换子的有界性[J].数学年刊A辑,2016,37(1):55~70 |
| 变指标 Morrey 空间上的 Marcinkiewicz 积分及交换子的有界性 |
| Boundedness of Marcinkiewicz Integrals and Commutators on Morrey Spaces with Variable Exponents |
| Received:July 01, 2014 Revised:April 30, 2015 |
| DOI： |
| 中文关键词: Marcinkiewicz 积分, 交换子, 变指标 Morrey 空间 |
| 英文关键词:Marcinkiewicz integrals, Commutators, Morrey spaces with variable exponents |
| 基金项目:本文受到国家自然科学基金 (No.11161042, No.11561062) 的资助 |
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| 中文摘要: |
| 利用Marcinkiewicz积分算子 $\mu$, Lusin面积积分 $\mu_S$ 和Littlewood-Paley $g_\lambda^*$ 函数以及相应的交换子在变指标Lebesgue空间上的有界性, 得到了它们在变指标Morrey空间上的有界性结果. |
| 英文摘要: |
| Using the boundedness results of Marcinkiewicz integrals $\mu$, Lusin area integrals $\mu_S$, and Littlewood-Paley $g_\lambda^*$ and their commutators on Lebesgue spaces with variable exponents, the boundedness results are established on Morrey spaces with variable exponents. |
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