Best Constants for Uncentred Maximal Functions |
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Authors: | Grafakos Loukas; Montgomery-Smith Stephen |
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Institution: | Department of Mathematics, University of Missouri Columbia, MO 65211, USA |
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Abstract: | We precisely evaluate the operator norm of the uncentred HardyLittlewoodmaximal function on Lp(R1). Consequently, we compute the operatornorm of the strong maximal function on Lp(Rn),and we observe that the operator norm of the uncentred HardyLittlewoodmaximal function over balls on Lp(Rn) grows exponentially asn![->](http://blms.oxfordjournals.org/math/rarr.gif) . 1991 Mathematics Subject Classification 42B25. |
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