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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| Affiliation: | 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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