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arXiv · 1212.2661

On the Hardy-Littlewood maximal function for the cube

Jean Bourgain
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Abstract

It is shown that the Hardy-Littlewood maximal function associated to the cube in $\mathbb R^n$ obeys dimensional free bounds in $L^p$ fir $p>1$. Earlier work only covered the range $p>\frac 32$.

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Jean Bourgain. 2012-12-11. On the Hardy-Littlewood maximal function for the cube. https://arxiv.org/abs/1212.2661

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