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arXiv · 1512.04112

Sharp inequalities for the variation of the discrete maximal function

José Madrid
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Abstract

In this paper we establish new optimal bounds for the derivative of some discrete maximal functions, both in the centered and uncentered versions. In particular, we solve a question originally posed by Bober, Carneiro, Hughes and Pierce.

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José Madrid. 2015-12-13. Sharp inequalities for the variation of the discrete maximal function. https://arxiv.org/abs/1512.04112

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