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The class $A^{+}_{\infty}(\lowercase{g})$ and the one-sided reverse Hölder inequality

Published:1997-06-01
Printed: Jun 1997
• David Cruz-Uribe
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Abstract

We give a direct proof that $w$ is an $A^{+}_{\infty}(g)$ weight if and only if $w$ satisfies a one-sided, weighted reverse H\"older inequality.
 Keywords: one-sided maximal operator, one-sided $(A_\infty)$, one-sided, reverse Hölder inequality
 MSC Classifications: 42B25 - Maximal functions, Littlewood-Paley theory

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