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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Near-symmetry in $ A_\infty$ and refined Jones factorization


Author: Winston Ou
Journal: Proc. Amer. Math. Soc. 136 (2008), 3239-3245
MSC (2000): Primary 42B25
Published electronically: May 6, 2008
MathSciNet review: 2407089
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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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Additional Information

Winston Ou
Affiliation: Department of Mathematics, Scripps College, Claremont, California 91711
Email: wcwou@scrippscollege.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-08-09459-8
PII: S 0002-9939(08)09459-8
Keywords: Minimal operator, natural extremal operators, BMO, $A_\infty $ weights.
Received by editor(s): August 7, 2007
Published electronically: May 6, 2008
Communicated by: Michael T. Lacey
Article copyright: © Copyright 2008 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.