3 papers
math.FA2026
Affine Approximation in Finite Nagata Dimension and Applications to Lipschitz-free spaces
Mingu Jung, Colin Petitjean, AntonÃn Prochazka +1
We show that if is a metric space of Nagata dimension at most , then there exists an atlas on modeled on such that every Lipschitz map (with val…
math.FA2026
On Weak Compactness and Uniform Regularity in Lipschitz free Spaces
Ramón J. Aliaga, Colin Petitjean, AntonÃn Prochazka +1
We analyze the properties of weakly compact sets in Lipschitz free spaces. Prior research has established that, for a complete metric space , weakly precompact sets in the Lipsc…
math.FA2025
On curve-flat Lipschitz functions and their linearizations
Gonzalo Flores, Mingu Jung, Gilles Lancien +3
We show that several operator ideals coincide when intersected with the class of linearizations of Lipschitz maps. In particular, we show that the linearization of a…