Hölder maps from Euclidean spaces to Carnot groups

Zoltan Balogh, Artem Kozhevnikov, Pierre Pansu

We give alternative proofs of (unsharp) results of Gromov's on his H\''older equivalence problem: for which $\alpha$ does there exist a $C^{\alpha }$-homeomorphism of an open set of Euclidean s…