Z. Balogh

activity

20092025

most citedFrequency of Sobolev dimension distortion of horizontal subgroups of Heisenberg groups

10 citations · 61 across the 23 of their papers we have counts for

collaborators

Showing 2025Show all

3 papers · 1 filter

math.MG2025

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 $α$ does there exist a $C^{α}$ -homeomorphism of an open set of Euclidean s…

math.DG2025

Pólya-Szegő inequalities on submanifolds with small total mean curvature

Pietro Aldrigo, Zoltán M. Balogh

We establish Pólya-Szegő-type inequalities (PSIs) for Sobolev-functions defined on a regular $n$ -dimensional submanifold $Σ$ (possibly with boundary) of a $(n + m)$ -dimensional Eucli…

math.MG2025

Rigid and flexible Wasserstein spaces

Zoltán M. Balogh, Eric Ströher, Tamás Titkos +1

In this paper, we study isometries of $p$ -Wasserstein spaces. In our first result, for every complete and separable metric space $X$ and for every $p \geq 1$ , we construct a metric s…