Panu Lahti

activity

20132026

most citedNotions of Dirichlet problem for functions of least gradient in metric measure spaces

15 citations · 54 across the 42 of their papers we have counts for

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3 papers · 1 filter

math.CA2026

Functions of bounded variation are not dense in the Strong BD Norm

Panu Lahti, Quoc-Hung Nguyen

We prove that functions of bounded variation are not dense in the space of functions of bounded deformation with respect to the strong BD norm. Using alternating Riesz products and…

math.FA2026

Decomposition of functions of bounded variation in Ahlfors-regular PI spaces

Paolo Bonicatto, Panu Lahti, Enrico Pasqualetto

We prove that, on a non-compact Ahlfors-regular PI space, every function of bounded variation $f$ can be decomposed as a countable sum $\sum_{n = 1}^{\infty} f_{n}$ of monotone functions…

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…