On the Hardy-Littlewood maximal function for the cube
classification
🧮 math.FA
keywords
cubefunctionhardy-littlewoodmaximalassociatedboundscovereddimensional
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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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