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<p>We provide the joint bump conditions for multilinear square functions in the setting of multiple dependent weights by extending the ideas of Lerner’s (2022) separated bump conditions for Calderón-Zygmund operators, and Li’s (2021) Orlicz bump conditions for general sublinear operators. In this paper, Theorems&#xa0;<InternalRef RefID="FPar1">1.1</InternalRef>,&#xa0;<InternalRef RefID="FPar3">1.3</InternalRef> are new even in the linear case. Theorem&#xa0;<InternalRef RefID="FPar2">1.2</InternalRef> improves the result of Cao et al. (2021) for multilinear square functions.</p>

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On joint bump conditions for multilinear square functions

  • 期刊论文

  • 发表日期：

    2025年1月13日

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  • Yanping Chen,
  • Li Zhang

摘要

We provide the joint bump conditions for multilinear square functions in the setting of multiple dependent weights by extending the ideas of Lerner’s (2022) separated bump conditions for Calderón-Zygmund operators, and Li’s (2021) Orlicz bump conditions for general sublinear operators. In this paper, Theorems 1.1, 1.3 are new even in the linear case. Theorem 1.2 improves the result of Cao et al. (2021) for multilinear square functions.