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arXiv · 1609.06923

$A_p$-$A_\infty$ estimates for multilinear maximal and sparse operators

Pavel Zorin-Kranich
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Abstract

We obtain mixed $A_p$--$A_\infty$ 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 $A_\infty$ characteristic that allows us to recover the best known estimates in terms of the $A_p$ characteristic for dependent weights as a special case of the mixed characteristic estimates for general tuples of weights.

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BibTeXRIS

Pavel Zorin-Kranich. 2019-07-08. $A_p$-$A_\infty$ estimates for multilinear maximal and sparse operators. https://doi.org/10.1007/s11854-019-0049-z

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