Best Constants for Uncentered Maximal Functions
نویسندگان
چکیده
We precisely evaluate the operator norm of the uncentered Hardy-Littlewood maximal function on Lp(R1). Consequently, we compute the operator norm of the “strong” maximal function on Lp(Rn), and we observe that the operator norm of the uncentered Hardy-Littlewood maximal function over balls on Lp(Rn) grows exponentially as n → ∞. For a locally integrable function f on R, let (Mnf)(x) = sup B x 1 |B| ∫
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