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A note on two weight bounds for the generalized Hardy-Littlewood Maximal operator

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arxiv 1506.07125 v1 pith:H2FSL7KX submitted 2015-06-23 math.CA

classification math.CA
keywords generalizedmaximaloperatorproofweightboundscarlesonconditions
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We give a straighforward proof of the two weight estimates of the generalized maximal operator under Sawyer type testing conditions. The proof relies on the Martingale Carleson Embedding Theorem.

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Cited by 1 Pith paper

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  1. Two-weight estimates for sparse square functions and the separated bump conjecture

    math.CA 2019-08 accept novelty 7.0 of 10

    Two-weight bounds for sparse square functions, uniform over sparse families, do not imply two-weight bounds for the Hilbert transform.

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