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Sharp inequalities for dyadic A 1 weights

Sharp inequalities for dyadic A 1 weights

We show how the Bellman function method can be used to obtain sharp inequalities for the maximal operator of a dyadic A 1 weight on $${\mathbb{R}^n}$$ . Using this approach, we determine the optimal constants in the corresponding weak-type estimates. Furthermore, we provide an alternative, simpler proof of the related …