A note on the Muckenhoupt class $A_1(\mathbb R)$
Bulletin Polish Acad. Sci. Math.
MSC: Primary 42B25
DOI: 10.4064/ba260310-23-6
Published online: 14 July 2026
Abstract
We provide a direct proof of the best possible reverse Hölder inequality satisfied by every $A_1$-weight defined on $({0,1})$ with $A_1$-constant equal to $c \gt 1$.