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<p>By establishing the sparse domination of higher-order commutators of bilinear fractional integral operators with BMO functions, we obtain mixed weighted estimates involving trilinear Fujii–Wilson constants. These results are new even in the linear setting and represent an improvement over current literature on commutators. Moreover, we show that these results recover classical one-weight estimates in the linear setting.</p>

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Weighted estimates for high-order commutators of bilinear fractional integral operators

  • 期刊论文

  • 发表日期：

    2026年6月29日

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  • Li Zhang

摘要

By establishing the sparse domination of higher-order commutators of bilinear fractional integral operators with BMO functions, we obtain mixed weighted estimates involving trilinear Fujii–Wilson constants. These results are new even in the linear setting and represent an improvement over current literature on commutators. Moreover, we show that these results recover classical one-weight estimates in the linear setting.