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arXiv · 1302.2252

On high dimensional maximal operators

J. M. Aldaz·J. Pérez Lázaro
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Abstract

In this note we describe some recent advances in the area of maximal function inequalities. We also study the behaviour of the centered Hardy-Littlewood maximal operator associated to certain families of doubling, radial decreasing measures, and acting on radial functions. In fact, we precisely determine when the weak type $(1,1)$ bounds are uniform in the dimension.

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J. M. Aldaz, J. Pérez Lázaro. 2013-02-09. On high dimensional maximal operators. https://arxiv.org/abs/1302.2252

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