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

 

Regularization of $A_{p}$ weights


Authors: Richard J. Bagby and Basem Masaedeh
Journal: Proc. Amer. Math. Soc. 131 (2003), 761-764
MSC (2000): Primary 42B25
Published electronically: October 15, 2002
MathSciNet review: 1937414
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Abstract: We show how to approximate a given weight function in the class $A_{p}$ by weights that are bounded above by multiples of their infima in such a way that the $A_{p}$ constant is not increased. As an application, we show that the precise range of $p$ for which a given weight is in $A_{p}$ cannot be determined by extrapolating the $A_{p}$ constants.


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Additional Information

Richard J. Bagby
Affiliation: Department of Mathematical Sciences, New Mexico State University, Las Cruces, New Mexico 88003
Email: rbagby@nmsu.edu

Basem Masaedeh
Affiliation: Department of Mathematics, Mu’tah University, Mu’tah, Jordan
Email: basmas_59@yahoo.com

DOI: http://dx.doi.org/10.1090/S0002-9939-02-06861-2
PII: S 0002-9939(02)06861-2
Received by editor(s): September 12, 2001
Published electronically: October 15, 2002
Communicated by: Andreas Seeger
Article copyright: © Copyright 2002 American Mathematical Society