Sharp weighted bounds without testing or extrapolation |
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Authors: | Kabe Moen |
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Institution: | 1. Department of Mathematics, University of Alabama, Tuscaloosa, AL, 35487-0350, USA
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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?CZygmund 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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