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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 for which a given weight is in $A_{p}$ cannot be determined by extrapolating the $A_{p}$ constants.

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