, Volume 99, Issue 5, pp 457-466
Date: 17 Nov 2012

Sharp weighted bounds without testing or extrapolation

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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.

The author is partially supported by the NSF under grant 1201504.