Near-symmetry in 𝐴_{∞} and refined Jones factorization

Ou, Winston

doi:10.1090/S0002-9939-08-09459-8

Near-symmetry in $A_\infty$ and refined Jones factorization
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Proc. Amer. Math. Soc. 136 (2008), 3239-3245 Request permission

Abstract:

We use variants of the Hardy-Littlewood maximal and the Cruz-Uribe–Neugebauer minimal operators to give direct characterizations of $A_1$ and $RH_\infty$ that clarify their near symmetry and yield elementary proofs of various known results, including Cruz-Uribe and Neugebauer’s refinement of the Jones factorization theorem.

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