Improved Poincare inequalities with weights

Irene Drelichman, Ricardo G. Durán

In this paper we prove that if $\Omega \in {\mathbb{R}}^n$ is a bounded John domain, the following weighted Poincare-type inequality holds: $$ \inf_{a\in \mathbb{R}}\| (f(x)-a) w_1(x) \|_{L…