Jiang Li

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20242026

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2 papers · 1 filter

math.FA2026

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

Manzi Huang, Panu Lahti, Jiang Li +1

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

math.FA2025

Geometric inequalities related to fractional perimeter: fractional PoincarÃ©, 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 $(X, d, I^¼)$ supporting a $(1, 1)$ -PoincarÃ© inequality, we show that for all $0 < I^¸ < 1$ , the following fractional PoincarÃ©…