Sharp A1 weighted estimates for vector valued operators.
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Isralowitz, Joshua
Pott, Sandra
Rivera Ríos, Israel P.
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Springer Nature
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Abstract
Given 1 ≤ q < p < ∞, quantitative weighted L p estimates, in terms of Aq weights,
for vector-valued maximal functions, Calderón–Zygmund operators, commutators,
and maximal rough singular integrals are obtained. The results for singular operators
will rely upon suitable convex body domination results, which in the case of commutators will be provided in this work, obtaining as a byproduct a new proof for the
scalar case as well.
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Isralowitz, J., Pott, S. & Rivera-Ríos, I.P. Sharp Weighted Estimates for Vector-Valued Operators. J Geom Anal 31, 3085–3116 (2021). https://doi.org/10.1007/s12220-020-00385-3