Paweł Goldstein

collaborators

2 papers

math.AP2026

Differentiability of Lipschitz mappings into metric spaces: area and co-area formulas

Behnam Esmayli, Paweł Goldstein, Piotr Hajłasz

We give a self-contained exposition of metric differentiability for Lipschitz mappings from sets in Euclidean spaces into arbitrary metric spaces, together with the corresponding a…

math.CA2025

$C^{2}$ -Lusin approximation of convex functions: one variable case

Paweł Goldstein, Piotr Hajłasz

We prove that if $f : (a, b) \to R$ is convex, then for any $ε > 0$ there is a convex function $g \in C^{2} (a, b)$ such that $∣ {f \neq = g} ∣ < ε$ and $\Vert f-g\Vert…

Differentiability of Lipschitz mappings into metric spaces: area and co-area formulas

C2-Lusin approximation of convex functions: one variable case

$C^{2}$ -Lusin approximation of convex functions: one variable case