A second alternative approach for the study of the Muckenhoupt class A(1)(R)

摘要

We find the exact best possible range of those p>1 for which any phi is an element of A1(R), with A1 constant equal to c, must also belong to Lp. In this way, we provide an alternative proof of the corresponding result in Bojarski and Sbordone (Studia Math 101(2):155-163, 1992) and Nikolidakis (Ann Acad Scient Fenn Math 40:949-955, 2015).