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Multiple weighted estimates for commutators of multilinear fractional integral operators

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Abstract

Multilinear commutators and iterated commutators of multilinear fractional integral operators with BMO functions are studied. Both strong type and weak type endpoint weighted estimates involving the multiple weights for such operators are established and the weak type endpoint results are sharp in some senses. In particular, we extend the results given by Cruz-Uribe and Fiorenza in 2003 and 2007 to the multilinear setting. Moreover, we modify the weak type of endpoint weighted estimates and improve the strong type of weighted norm inequalities on the multilinear commutators given by Chen and Xue in 2010 and 2011.

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Authors and Affiliations

  1. School of Mathematical Sciences, Xiamen University, Xiamen, 361005, China

    SongQing Chen & HuoXiong Wu

  2. School of Economics, Shanghai University of Finance and Economics, Shanghai, 240033, China

    SongQing Chen

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  1. SongQing Chen
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  2. HuoXiong Wu
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Correspondence to HuoXiong Wu.

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Chen, S., Wu, H. Multiple weighted estimates for commutators of multilinear fractional integral operators. Sci. China Math. 56, 1879–1894 (2013). https://doi.org/10.1007/s11425-013-4607-z

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