Near-symmetry in and refined Jones factorization

Author:
Winston Ou

Journal:
Proc. Amer. Math. Soc. **136** (2008), 3239-3245

MSC (2000):
Primary 42B25

DOI:
https://doi.org/10.1090/S0002-9939-08-09459-8

Published electronically:
May 6, 2008

MathSciNet review:
2407089

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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.

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Additional Information

**Winston Ou**

Affiliation:
Department of Mathematics, Scripps College, Claremont, California 91711

Email:
wcwou@scrippscollege.edu

DOI:
https://doi.org/10.1090/S0002-9939-08-09459-8

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.