10 citations · 61 across the 23 of their papers we have counts for
4 papers · 1 filter
Weak contact equations for mappings into Heisenberg groups
Zoltán M. Balogh, Piotr Hajłasz, Kevin Wildrick
Let k>n be positive integers. We consider mappings from a subset of k-dimensional Euclidean space R^k to the Heisenberg group H^n with a variety of metric properties, each of which…
Sharp comparison and maximum principles via horizontal normal mapping in the Heisenberg group
Zoltán M. Balogh, Andrea Calogero, Alexandru Kristály
In this paper we solve a problem raised by Gutiérrez and Montanari about comparison principles for convex functions on subdomains of Heisenberg groups. Our approach is based on…
Frequency of Sobolev dimension distortion of horizontal subgroups of Heisenberg groups
Zoltán M. Balogh, Jeremy T. Tyson, Kevin Wildrick
We study the behavior of Sobolev mappings defined on the Heisenberg groups with respect to a foliation by left cosets of a horizontal homogeneous subgroup. We quantitatively estima…
Dimension distortion by Sobolev mappings in foliated metric spaces
Zoltán M. Balogh, Jeremy T. Tyson, Kevin Wildrick
We quantify the extent to which a supercritical Sobolev mapping can increase the dimension of subsets of its domain, in the setting of metric measure spaces supporting a Poincaré i…