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arxiv: 1311.2046 · v2 · pith:NANSM2TZnew · submitted 2013-11-08 · 🧮 math.CA

Extremizers and sharp weak-type estimates for positive dyadic shifts

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keywords dyadiclocalpositiveshiftsweak-typebellmandescribeestimates
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We find the exact Bellman function for the weak $L^1$ 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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