带变量核的MarcinkiewiczMorrey-Herz算子及其交换子在加权空间上的有界性 |
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引用本文: | 姚红超,朱月萍.带变量核的MarcinkiewiczMorrey-Herz算子及其交换子在加权空间上的有界性[J].南通工学院学报(自然科学版),2012(3):43-54. |
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作者姓名: | 姚红超 朱月萍 |
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作者单位: | 南通大学理学院,江苏南通226007 |
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基金项目: | 国家自然科学基金项目(10971288);江苏省2011年度普通高校研究生科研创新计划项目(CXZZll-0633);南通大学研究生科技创新计划项目(YKCll051) |
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摘 要: | 证明了一类带变量核的Mareinkiewicz积分算子μΩ及其与BMO函数生成的交换子μb/Ω在加权Lp空间上的有界性,并在此条件下证明了带变量核的μΩ及μb/Ω在加权Morrey-Herz空间上的有界性,这些结果是一些已知定理的推广.
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关 键 词: | 变量核 Marcinkiewicz积分算子 交换子 加权Morrey-Herz空间 |
Boundedness of Marcinkiewicz Integrals and Their Commutators with Variable Kernels on Weighted Morrey-Herz Spaces |
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Authors: | YAO Hong-chao ZHU Yue-ping |
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Institution: | (School of Sciences, Nantong University, Nantong 226007, China) |
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Abstract: | In this paper, the weighted Lp boundedness of Marcinkiewicz integral operators with variable kernels μΩ and their commutators with BMO functions areμb/Ω analyzed;under the same conditions, the boundedness ofμΩ and μb/Ω on weighted Morrey-Herz spaces are obtained. These results are the generalizations of some known theorems for classical Marcinkiewicz integral operators. |
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Keywords: | variable kernel Marcinkiewicz integral commutator weighted Morrey-Herzspace |
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