| Calderón-Zygmund算子与交换子在非齐度量测度空间上Morrey空间 |
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| 引用本文： | 陶双平,王萍.Calderón-Zygmund算子与交换子在非齐度量测度空间上Morrey空间[J].吉林大学学报(理学版),2015,53(6):1073-1080. |
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| 作者姓名： | 陶双平 王萍 |
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| 作者单位： | 西北师范大学 数学与统计学院, 兰州 730070 |
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| 摘 要： | 用函数分解及几何双倍条件和上双倍条件方法, 得到了Calderón-Zygmund算子及其与RBMO(μ)函数生成的交换子在非齐度量测度空间上Morrey空间中的有界性; 并且当p=n/β时, 证明了Calderón-Zygmund算子与Lipschitz函数生成的交换子是从Morrey空间到RBMO空间有界的.
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| 关 键 词： | Calderó n Zygmund算子 交换子 RBMO(&mu )函数 度量测度空间 Morrey空间 |
| 收稿时间： | 2015-04-14 |
Boundedness of Calderón-Zygmund Operators and Commutators on Morrey Spaces Associated with Non-homogeneous Metric Measure Spaces |
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| TAO Shuangping,WANG Ping.Boundedness of Calderón-Zygmund Operators and Commutators on Morrey Spaces Associated with Non-homogeneous Metric Measure Spaces[J].Journal of Jilin University: Sci Ed,2015,53(6):1073-1080. |
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| Authors: | TAO Shuangping WANG Ping |
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| Institution: | College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China |
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| Abstract: | With the aid of the methods of the function decompositions and the conditions of the geometrically and upper doubling, the boundedness of Calderón Zygmund operators and its commutators generated by RBMO(μ) functions was obtained on Morrey spaces associated with non\|homogeneous metric measure spaces. Moreover, as p=n/β, it was proved that commutators generated by Calderón Zygmund operators and Lipschitz functions are bounded from the Morrey spaces into RBMO(μ) spaces. |
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| Keywords: | Calderón Zygmund operator commutator RBMO(μ) function metric measure space Morrey space |
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