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On the Hardy-Littlewood maximal function for the cube

Published 11 Dec 2012 in math.FA | (1212.2661v1)

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

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