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Endpoint estimates for commutators of multilinear fractional integral operators

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Abstract

In this paper, the weak type LlogL estimate for the multilinear fractional commutator is obtained by introducing a new kind of maximal operator of the multilinear fractional order associated with the mean Luxumburg norm and using the technique of sharp function.

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Correspondence to Xiao Yu.

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Supported by National Natural Science Foundation of China (Grant Nos. 10571156 and 10871173)

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Yu, X., Chen, J.C. Endpoint estimates for commutators of multilinear fractional integral operators. Acta. Math. Sin.-English Ser. 26, 433–444 (2010). https://doi.org/10.1007/s10114-010-8421-z

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  • DOI: https://doi.org/10.1007/s10114-010-8421-z

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