We prove that Muckenhoupt's A1-weights satisfy a reverse Hölder inequality with an explicit and asymptotically sharp estimate for the exponent. As a by-product we get a new characterization of A1-weights.
@article{urn:eudml:doc:41330,
title = {A stability result on Muckenhoupt's weights.},
journal = {Publicacions Matem\`atiques},
volume = {42},
year = {1998},
pages = {153-163},
mrnumber = {MR1628162},
zbl = {0919.42015},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41330}
}
Kinnunen, Juha. A stability result on Muckenhoupt's weights.. Publicacions Matemàtiques, Tome 42 (1998) pp. 153-163. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41330/