广义分数次积分算子及其交换子在Morrey空间中的有界性 |
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引用本文: | 陈瑞仰,陈波.广义分数次积分算子及其交换子在Morrey空间中的有界性[J].西安工业大学学报,2010(6):592-598. |
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作者姓名: | 陈瑞仰 陈波 |
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作者单位: | 暨南大学数学系,广州510632 |
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摘 要: | L-α/2是椭圆算子L的广义分数次积分算子,其中0αn.对b(x)∈BMO(Rn),给出广义分数次积分算子L-α/2及其交换子b,L-α/2]的Morrey空间有界性.
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关 键 词: | 分数次积分算子 交换子 有界性 Morrey空间 |
The Boundedness of Generalized Fractional Integral Operator and Its Commutator in Morrey Spaces |
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Authors: | CHEN Rui-yang CHEN Bo |
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Affiliation: | (Department of Mathematics,Jinan University,Guangzhou 510632,China) |
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Abstract: | Let L-α/2 be the generalized fractional integral operator of L for 0αn.For b(x)∈BMO(Rn),the boundedness of generalized fractional integral operator L-α/2 and its commutator b,L-α/2] in Morrey spaces is defined. |
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Keywords: | fractional integral operator commutator boundedness Morrey spaces |
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