15 citations · 54 across the 42 of their papers we have counts for
Showing 2025Show all
3 papers · 1 filter
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 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.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 of a function of bounded variation in , . In particular, we show that…