Abstract
We give a short proof of the sharp weighted bound for sparse operators that holds for all p,1 < p < ∞. By recent developments this implies the bounds hold for any Calderón–Zygmund operator. The novelty of our approach is that we avoid two techniques that are present in other proofs: two weight inequalities and extrapolation. Our techniques are applicable to fractional integral operators as well.
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The author is partially supported by the NSF under grant 1201504.
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Moen, K. Sharp weighted bounds without testing or extrapolation. Arch. Math. 99, 457–466 (2012). https://doi.org/10.1007/s00013-012-0453-4
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DOI: https://doi.org/10.1007/s00013-012-0453-4