10 citations · 61 across the 23 of their papers we have counts for
32 papers
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 does there exist a -homeomorphism of an open set of Euclidean s…
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 -dimensional submanifold (possibly with boundary) of a -dimensional Eucli…
Rigid and flexible Wasserstein spaces
Zoltán M. Balogh, Eric Ströher, Tamás Titkos +1
In this paper, we study isometries of -Wasserstein spaces. In our first result, for every complete and separable metric space and for every , we construct a metric s…
Stretch maps on the affine-additive group
Z. M. Balogh, E. Bubani, I. D. Platis
We define linear and radial stretch maps in the affine-additive group, and prove that they are minimizers of the mean quasiconformal distortion functional. For the proofs we use a…
Isometric rigidity of the Wasserstein space over the plane with the maximum metric
Zoltán M. Balogh, Gergely Kiss, Tamás Titkos +1
We study -Wasserstein spaces over the branching spaces and equipped with the maximum norm metric. We show that these spaces are isometrically rigid for…
Logarithmic-Sobolev inequalities on non-compact Euclidean submanifolds: sharpness and rigidity
Zoltán M. Balogh, Alexandru Kristály
The paper is devoted to provide Michael-Simon-type -logarithmic-Sobolev inequalities on complete, not necessarily compact -dimensional submanifolds of the Euclidean spa…