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

Author(s): Winston Ou
Journal: Proc. Amer. Math. Soc. 136 (2008), 3239-3245.
MSC (2000): Primary 42B25
Posted: May 6, 2008
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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: 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
Posted: May 6, 2008
Communicated by: Michael T. Lacey
Copyright of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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