3 papers
math.FA2025
Quantified compactness in Lipschitz-free spaces of
Thierry De Pauw
We show that the members of the Lipschitz-free space of are exactly the 0-dimensional flat currents whose "boundary" vanishes. The connection with normal and flat curren…
math.PR2024
A regularity property of fractional Brownian sheets
Philippe Bouafia, Thierry De Pauw
A function defined on is called strongly chargeable if there is a continuous vector-field such that equals the flux of through the rectan…
math.AP2020
Linear isoperimetric inequality for normal and integral currents in compact subanalytic sets
Thierry De Pauw, Robert Hardt
The isoperimetric inequality for a smooth compact Riemannian manifold provides a positive , so that for any dimensional integral current in there ex…