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arXiv · 1311.2046

Extremizers and sharp weak-type estimates for positive dyadic shifts

Guillermo Rey·Alexander Reznikov
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Abstract

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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Guillermo Rey, Alexander Reznikov. 2013-11-08. Extremizers and sharp weak-type estimates for positive dyadic shifts. https://doi.org/10.1016/j.aim.2013.12.030

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