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Ap-A∞ estimates for multilinear maximal and sparse operators

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Abstract

We obtain mixed Ap-A∞ estimates for a large family of multilinear maximal and sparse operators. Operators from this family are known to control for instance multilinear Calderón-Zygmund operators, square functions, fractional integrals, and the bilinear Hilbert transform. Our results feature a new multilinear version of the Fujii-Wilson A∞ characteristic that allows us to recover the best known estimates in terms of the Ap characteristic for dependent weights as a special case of the mixed characteristic estimates for general tuples of weights.

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Authors and Affiliations

  1. Mathematical Institute, University of Bonn, Endenicher Allee 60, D-53115, Bonn, Germany

    Pavel Zorin-Kranich

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  1. Pavel Zorin-Kranich
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Correspondence to Pavel Zorin-Kranich.

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Zorin-Kranich, P. Ap-A∞ estimates for multilinear maximal and sparse operators. JAMA 138, 871–889 (2019). https://doi.org/10.1007/s11854-019-0049-z

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  • DOI: https://doi.org/10.1007/s11854-019-0049-z

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