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Near-symmetry in  and refined Jones factorization |
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| Authors: | Winston Ou |
| Affiliation: | Department of Mathematics, Scripps College, Claremont, California 91711 |
| Abstract: | We use variants of the Hardy-Littlewood maximal and the Cruz-Uribe-Neugebauer minimal operators to give direct characterizations of  and  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. |
| Keywords: | Minimal operator natural extremal operators BMO $A_infty $ weights. |
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