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Weak endpoint bounds for matrix weights

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arxiv 1905.06436 v1 pith:QO6YVTKN submitted 2019-05-15 math.CA

David Cruz-Uribe , Joshua Isralowitz , Kabe Moen , Sandra Pott , Israel P. Rivera-Ríos This is my paper · ORCID
classification math.CA
keywords matrixendpointweightedboundscalderclasscommutatorsczos
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abstract

We prove quantitative matrix weighted endpoint estimates for the matrix weighted Hardy-Littlewood maximal operator, Calder\'on-Zygmund operators, and commutators of CZOs with scalar BMO functions, when the matrix weight is in the class $A_1$ introduced by M.~Frazier and S.~Roudenko.

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Cited by 1 Pith paper

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  1. Off-diagonal matrix extrapolation for Muckenhoupt bases

    math.CA 2025-04 conditional novelty 7.0 of 10

    The authors prove off-diagonal and general-basis Rubio de Francia extrapolation for matrix weights, and show multiparameter bases satisfy the required maximal operator bound.

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