Regularization of 𝐴_{𝑝} weights

Bagby, Richard; Masaedeh, Basem

doi:10.1090/S0002-9939-02-06861-2

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.

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