| Boundedness for multilinear fractional integral operators on Herz type spaces |
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| 作者单位： | SHI Yan-long TAO Xiang-xing Dept.of Math.，Faculty of Science，Ningbo Univ.，Ningbo 315211，China |
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| 基金项目： | 国家自然科学基金
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浙江省宁波市自然科学基金
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| 摘 要： | In this paper the boundedness for the multilinear fractional integral operator Iα^（m） on the product of Herz spaces and Herz-Morrey spaces are founded, which improves the Hardy- Littlewood-Sobolev inequality for classical fractional integral Iα. The method given in the note is useful for more general multilinear integral operators.
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| 关 键 词： | 多线性偏微分 Herz空间 Herz-Morrey空间 积空间 |
Boundedness for multilinear fractional integral operators on Herz type spaces |
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| Authors: | Yan-long Shi Xiang-xing Tao |
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| Institution: | Dept. of Math., Faculty of Science, Ningbo Univ., Ningbo 315211, China |
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| Abstract: | In this paper the boundedness for the multilinear fractional integral operator I(m)a on the product of Herz spaces and Herz-Morrey spaces are founded,which improves the Hardy-Littlewood-Sobolev inequality for classical fractional integral Ia.The method given in the note is useful for more general multilinear integral operators. |
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| Keywords: | multilinear fractional integral Herz space homogeneous Herz-Morrey space product space |
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