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Abstract view

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

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