Near-symmetry in $A_\infty$ and refined Jones factorization
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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.References
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Additional Information
- Winston Ou
- Affiliation: Department of Mathematics, Scripps College, Claremont, California 91711
- Email: wcwou@scrippscollege.edu
- Received by editor(s): August 7, 2007
- Published electronically: May 6, 2008
- Communicated by: Michael T. Lacey
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 136 (2008), 3239-3245
- MSC (2000): Primary 42B25
- DOI: https://doi.org/10.1090/S0002-9939-08-09459-8
- MathSciNet review: 2407089