| 奇异积分和位势积分交换子在极大Morrey空间上的有界性 |
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| 引用本文： | 叶晓峰.奇异积分和位势积分交换子在极大Morrey空间上的有界性[J].数学学报,2011(2):343-352. |
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| 作者姓名： | 叶晓峰 |
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| 作者单位： | 华东交通大学信息与计算科学系; |
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| 基金项目： | 国家自然科学基金资助项目(10961015) |
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| 摘 要： | 设齐次空间(X,ρ,μ)上定义一类极大Morrey空间L~(p),θ,λ)(X,μ).此类极大Morrey空间是经典的Morrey空间和极大Lebesgue空间的推广.本文考虑了C-Z积分算子、位势算子与BMO函数生成的交换子在该类极大Morrey空间上的有界性.事实上,这些结果甚至在一般的欧式空间上也是新颖的.
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| 关 键 词： | 极大Morrey空间 交换子 奇异积分算子和位势积分算子 |
Boundedness of Commutators of Singular and Potential Operators in Grand Morrey Spaces |
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| Xiao Feng YE.Boundedness of Commutators of Singular and Potential Operators in Grand Morrey Spaces[J].Acta Mathematica Sinica,2011(2):343-352. |
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| Authors: | Xiao Feng YE |
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| Institution: | Xiao Feng YE Department of Information and Computer Science,East China Jiaotong University,Nanchang 330013,P.R.China |
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| Abstract: | In the setting of homogeneous space(X,ρ,μ),it is shown that the commutators of Calderon-Zygumund operator and Potential operator with BMO function are bounded in Grand Morrey space,which contains the grand Lebesgue space and Morrey space.Moreover,all results are new even for Euclidean spaces. |
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| Keywords: | grand Morrey space commutator singular integral operator and potential operator |
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