A Sharp Lp Inequality for Dyadic A1 Weights in Rn
The exact best possible range of p is determined such that any dyadic A1 weight w on Rn satisfies a reverse Hölder inequality for p, which depends on the dimension n and the corresponding A1 constant of w. The proof is based on an effective linearization of the dyadic maximal operator applied to dya...
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| Veröffentlicht in: | The Bulletin of the London Mathematical Society 2005-12, Vol.37 (6), p.919-926 |
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| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | The exact best possible range of p is determined such that any dyadic A1 weight w on Rn satisfies a reverse Hölder inequality for p, which depends on the dimension n and the corresponding A1 constant of w. The proof is based on an effective linearization of the dyadic maximal operator applied to dyadic step functions. 2000 Mathematics Subject Classification 42B25. |
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| ISSN: | 0024-6093 1469-2120 |
| DOI: | 10.1112/S0024609305004765 |