Two-weight bounds for sparse square functions, uniform over sparse families, do not imply two-weight bounds for the Hilbert transform.
A note on two weight bounds for the generalized Hardy-Littlewood Maximal operator
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abstract
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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math.CA 1years
2019 1verdicts
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Two-weight estimates for sparse square functions and the separated bump conjecture
Two-weight bounds for sparse square functions, uniform over sparse families, do not imply two-weight bounds for the Hilbert transform.