Z. Balogh

activity

20242026

collaborators

8 papers

math.DG2026

Logarithmic-Sobolev inequalities on non-compact Euclidean submanifolds: sharpness and rigidity

ZoltÃ¡n M. Balogh, Alexandru KristÃ¡ly

The paper is devoted to provide Michael-Simon-type $L^{p}$ -logarithmic-Sobolev inequalities on complete, not necessarily compact $n$ -dimensional submanifolds $I^£$ of the Euclidean sp…

math.MG2025

Rigid and flexible Wasserstein spaces

ZoltÃ¡n M. Balogh, Eric StrÃ¶her, TamÃ¡s 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…

math.MG2025

HÃ¶lder 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 $I^\pm$ does there exist a $C^{I^} \pm$ -homeomorphism of an open set of Euclidean…

math.MG2025

Isometries and isometric embeddings of Wasserstein spaces over the Heisenberg group

ZoltÃ¡n M. Balogh, TamÃ¡s Titkos, DÃ¡niel Virosztek

Our purpose in this paper is to study isometries and isometric embeddings of the $p$ -Wasserstein space $W_{p} (H^{n})$ over the Heisenberg group $H^{n}$ for al…

math.MG2025

Isometric rigidity of the Wasserstein space over the plane with the maximum metric

ZoltÃ¡n M. Balogh, Gergely Kiss, TamÃ¡s Titkos +1

We study $p$ -Wasserstein spaces over the branching spaces $R^{2}$ and $[- 1, 1]^{2}$ equipped with the maximum norm metric. We show that these spaces are isometrically rigid for…

math.DG2025

PÃ³lya-SzegÅ inequalities on submanifolds with small total mean curvature

Pietro Aldrigo, ZoltÃ¡n M. Balogh

We establish PÃ³lya-SzegÅ-type inequalities (PSIs) for Sobolev-functions defined on a regular $n$ -dimensional submanifold $I^£$ (possibly with boundary) of a $(n + m)$ -dimensional Eu…

Logarithmic-Sobolev inequalities on non-compact Euclidean submanifolds: sharpness and rigidity

Rigid and flexible Wasserstein spaces

HÃ¶lder maps from Euclidean spaces to Carnot groups

Isometries and isometric embeddings of Wasserstein spaces over the Heisenberg group

Isometric rigidity of the Wasserstein space over the plane with the maximum metric

PÃ³lya-SzegÅ inequalities on submanifolds with small total mean curvature

PÃ³lya-SzegÅ inequalities on submanifolds with small total mean curvature