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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.

References [Enhancements On Off] (What's this?)

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Additional Information

Richard J. Bagby
Affiliation: Department of Mathematical Sciences, New Mexico State University, Las Cruces, New Mexico 88003

Basem Masaedeh
Affiliation: Department of Mathematics, Mu’tah University, Mu’tah, Jordan

Received by editor(s): September 12, 2001
Published electronically: October 15, 2002
Communicated by: Andreas Seeger
Article copyright: © Copyright 2002 American Mathematical Society