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math.FA2025
Geometric inequalities related to fractional perimeter: fractional Poincaré, isoperimetric, and boxing inequalities in metric measure spaces
Josh Kline, Panu Lahti, Jiang Li +1
In the setting of a complete, doubling metric measure space supporting a -Poincaré inequality, we show that for all , the following fractional Poincaré ineq…
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…