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Extremizers and sharp weak-type estimates for positive dyadic shifts

Published 8 Nov 2013 in math.CA | (1311.2046v2)

Abstract: We find the exact Bellman function for the weak $L1$ norm of local positive dyadic shifts. We also describe a sequence of functions, self-similar in nature, which in the limit extremize the local weak-type (1,1) inequality.

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