Boxing inequalities for relative fractional perimeter and fractional Poincaré-type inequalities on John domains with the BBM factor

Manzi Huang, Panu Lahti, Jiang Li +1

For $0<\hat{I}´,\ddot{I}„<1$ and $1\le s\le \frac{n}{n-\hat{I}´}$, we prove that for a given $s$-John domain $\hat{I}\text{c◯}\subset {\mathbb{R}}^n$, the following Boxing inequality holds for every Lebesgue measura…