Best constants for uncentered maximal functions

Details Best constants for uncentered maximal functions Best constants for uncentered maximal functions

1994-12-19

arxiv.org/abs/math/9412218v2

Bul. L.M.S. 29, (1997), 60-64

Mathematics

Functional Analysis

Scientific paper

We precisely evaluate the operator norm of the uncentered Hardy-Littlewood maximal function on $L^p(\Bbb R^1)$. We also compute the operator norm of the uncentered Hardy-Littlewood maximal function over rectangles on $L^p(\Bbb R^n)$, and we show that the operator norm of the uncentered Hardy-Littlewood maximal function over balls on $L^p(\Bbb R^n)$ grows exponentially with the dimension as $n \to \infty$.

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