| 非双倍测度下分数次极大算子交换子在Morrey-Herz空间上的有界性 |
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| 引用本文： | 赵凯,王永刚,王磊.非双倍测度下分数次极大算子交换子在Morrey-Herz空间上的有界性[J].吉林大学学报(理学版),2011,49(5):835-838. |
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| 作者姓名： | 赵凯 王永刚 王磊 |
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| 作者单位： | 1. 青岛大学 数学科学学院, 山东 青岛 266071,2. 青岛大学 师范学院数学系, 山东 青岛 266071 |
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| 基金项目： | 国家自然科学基金(批准号:11041004); 山东省自然科学基金(批准号:ZR2010AM032) |
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| 摘 要： | 应用Morrey-Herz空间和RBMO(μ)函数的特征,并利用非双倍测度下方体系数KQ,R的性质,得到了非双倍测度下Hardy-Littlewood分数次极大算子交换子在Morrey-Herz空间上的有界性.
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| 关 键 词： | 非双倍测度 Morrey-Herz空间 交换子 有界性 |
| 收稿时间： | 2010-12-14 |
Boundedness of Commutators of Fractional Maximal Operators on Morrey-Herz Spaces with Non-doubling Measure |
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| ZHAO Kai,WANG Yong-gang,WANG Lei.Boundedness of Commutators of Fractional Maximal Operators on Morrey-Herz Spaces with Non-doubling Measure[J].Journal of Jilin University: Sci Ed,2011,49(5):835-838. |
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| Authors: | ZHAO Kai WANG Yong-gang WANG Lei |
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| Institution: | 1. College of Mathematics, Qingdao University, Qingdao 266071, Shandong Province, China;2. Department of Mathematics, Teachers College, Qingdao University, Qingdao 266071, Shandong Province, China |
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| Abstract: | With the help of the characteristics of the Morrey Herz spaces and the RBMO(μ) functions, and the properties of K Q,R for any two cubes with non doubling measure, the boundedness of the Hardy Littlewood fractional maximal commutator Mdb on Morrey Herz space with non doubling measure is obtained. |
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| Keywords: | non-doubling measure Morrey-Herz space commutator boundedness |
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