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Weak estimates for commutators of fractional integral operators

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Abstract

By introducing a kind of maximal operator of the fractional order associated with the mean Luxemburg norm and using the technique of the sharp function, the weak type LlogL estimates for the commutators of the fractional integral operator and the related maximal operator are established.

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Authors and Affiliations

  1. Department of Mathematics, Beijing Normal University, 100875, Beijing, China

    Ding Yong, Lu Shanzhen & Zhang Pu

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  1. Ding Yong
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  2. Lu Shanzhen
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  3. Zhang Pu
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Correspondence to Ding Yong.

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Ding, Y., Lu, S. & Zhang, P. Weak estimates for commutators of fractional integral operators. Sci. China Ser. A-Math. 44, 877–888 (2001). https://doi.org/10.1007/BF02880137

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  • DOI: https://doi.org/10.1007/BF02880137

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