Journal of Inequalities and Applications
Volume 7 (2002), Issue 5, Pages 747-758

A note on Ap weights: Pasting weights and changing variables

Mario Pérez Riera

Departamento de Matemtáicas, Universidad de Zaragoza, Zaragoza 50009, Spain

Received 29 June 2001; Revised 12 September 2001

Copyright © 2002 Mario Pérez Riera. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


For two weights u, w on n, we show that wAp,u (the Muckenhoupt class of weights) if and only if wuAp and wu1pAp, under the assumption that uAr for every r>1. We also prove a rather general result on pasting weights on that satisfy the Ap condition.