The Sparse T1 Theorem
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Date
2017Author
Lacey, Michael T.
Mena Arias, Darío Alberto
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We impose standard T1-type assumptions on a Calderon-Zygmund operator T, and deduce that for bounded compactly supported functions f and g there is a sparse bilinear form B so that |< Tf, g >|; < B(f,g). The proof is short and elementary. The sparse bound quickly implies all the standard mapping properties of a Calderon-Zygmund on a (weighted) L^p space.
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