On the Hardy-Littlewood maximal function for the cube

preprint2012arXivOpen access

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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On the Hardy-Littlewood maximal function for the cube

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