Panu Lahti

collaborators

4 papers

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.MG2025

A topological characterization of indecomposable sets of finite perimeter

Paolo Bonicatto, Panu Lahti, Enrico Pasqualetto

We prove that a set of finite perimeter is indecomposable if and only if it is, up to a choice of suitable representative, connected in the 1-fine topology. This gives a topologica…

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©…

math.CA2025

The centered maximal operator removes the non-concave Cantor part from the gradient

Panu Lahti, Julian Weigt

We study regularity of the centered Hardy--Littlewood maximal function $M f$ of a function $f$ of bounded variation in $R^{d}$ , $d \in N$ . In particular, we show that…