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Regularization of weights
Authors:Richard J. Bagby   Basem Masaedeh
Affiliation:Department of Mathematical Sciences, New Mexico State University, Las Cruces, New Mexico 88003 ; Department of Mathematics, Mu'tah University, Mu'tah, Jordan
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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