Panu Lahti

activity

20172026

most citedTraces of Newton-Sobolev, Hajlasz-Sobolev and BV functions on metric spaces

7 citations · 11 across the 22 of their papers we have counts for

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5 papers · 1 filter

math.FA2026

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

Manzi Huang, Panu Lahti, Jiang Li +1

For $0 < δ, τ < 1$ and $1 \leq s \leq \frac{n}{n - δ}$ , we prove that for a given $s$ -John domain $Ω \subset R^{n}$ , the following Boxing inequality holds for every Lebesgue measurable…

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 $(X, d, μ)$ supporting a $(1, 1)$ -Poincaré inequality, we show that for all $0 < θ < 1$ , 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…

math.FA2021

Absolutely continuous mappings on doubling metric measure spaces

Panu Lahti, Xiaodan Zhou

Following Malý's definition of absolutely continuous functions of several variables, we consider $Q$ -absolutely continuous mappings $f : X \to V$ between a doubling metric measu…

math.FA2021

On rough traces of BV functions

Panu Lahti

In metric measure spaces, we study boundary traces of BV functions in domains equipped with a doubling measure and supporting a Poincaré inequality, but possibly having a very larg…