How to get rid of one of the weights in a two-weight Poincaré inequality?
Volume 74 / 2000
Annales Polonici Mathematici 74 (2000), 97-103
DOI: 10.4064/ap-74-1-97-103
Abstract
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.