A Sharp Lp Inequality for Dyadic A1 Weights in Rn |
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| Authors: | Melas Antonios D. |
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| Affiliation: | Department of Mathematics, University of Athens Panepistimiopolis 15784, Athens, Greece amelas{at}math.uoa.gr |
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| Abstract: | The exact best possible range of p is determined such that anydyadic A1 weight w on Rn satisfies a reverse Hölder inequalityfor p, which depends on the dimension n and the correspondingA1 constant of w. The proof is based on an effective linearizationof the dyadic maximal operator applied to dyadic step functions.2000 Mathematics Subject Classification 42B25. |
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