2 papers
math.FA2023
BV functions and nonlocal functionals in metric measure spaces
Panu Lahti, Andrea Pinamonti, Xiaodan Zhou
We study the asymptotic behavior of three classes of nonlocal functionals in complete metric spaces equipped with a doubling measure and supporting a Poincaré inequality. We show t…
math.FA2022
A characterization of BV and Sobolev functions via nonlocal functionals in metric spaces
Panu Lahti, Andrea Pinamonti, Xiaodan Zhou
We study a characterization of BV and Sobolev functions via nonlocal functionals in metric spaces equipped with a doubling measure and supporting a Poincaré inequality. Compared wi…