Regularization of $A_{p}$ weights
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- by Richard J. Bagby and Basem Masaedeh PDF
- Proc. Amer. Math. Soc. 131 (2003), 761-764 Request permission
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
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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
- Received by editor(s): September 12, 2001
- Published electronically: October 15, 2002
- Communicated by: Andreas Seeger
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 761-764
- MSC (2000): Primary 42B25
- DOI: https://doi.org/10.1090/S0002-9939-02-06861-2
- MathSciNet review: 1937414