We prove that if a Poincaré inequality with two different weights holds on every ball, then a Poincaré inequality with the same weight on both sides holds as well.
@article{bwmeta1.element.bwnjournal-article-apmv74z1p97bwm,
author = {Franchi, Bruno and Haj\l asz, Piotr},
title = {How to get rid of one of the weights in a two-weight Poincar\'e inequality?},
journal = {Annales Polonici Mathematici},
volume = {75},
year = {2000},
pages = {97-103},
zbl = {0965.46021},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv74z1p97bwm}
}
Franchi, Bruno; Hajłasz, Piotr. How to get rid of one of the weights in a two-weight Poincaré inequality?. Annales Polonici Mathematici, Tome 75 (2000) pp. 97-103. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv74z1p97bwm/
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