Journal of Inequalities and Applications 
Volume 7 (2002), Issue 5, Pages 747-758
doi:10.1155/S1025583402000383

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

Abstract

For two weights u, w on ℝn, we show that w∈Ap,u (the Muckenhoupt class of weights) if and only if wu∈Ap and wu1−p∈Ap, under the assumption that u∈Ar for every r>1. We also prove a rather general result on pasting weights on ℝ that satisfy the Ap condition.