21 citations · 98 across the 26 of their papers we have counts for
10 papers · 1 filter
The strong geometric lemma in the Heisenberg group
Vasileios Chousionis, Sean Li, Robert Young
We prove that in the first Heisenberg group, unlike Euclidean spaces and higher dimensional Heisenberg groups, the best possible exponent for the strong geometric lemma for intrins…
The Riesz tranform on intrinsic Lipschitz graphs in the Heisenberg group
Vasileios Chousionis, Sean Li, Robert Young
We prove that the Heisenberg Riesz transform is --unbounded on a family of intrinsic Lipschitz graphs in the first Heisenberg group . We construct this family by c…
Undistorted fillings in subsets of metric spaces
Giuliano Basso, Stefan Wenger, Robert Young
We prove that if a quasiconvex subset of a metric space has finite Nagata dimension and is Lipschitz -connected or admits Euclidean isoperimetric inequalities up to dime…
The strong geometric lemma for intrinsic Lipschitz graphs in Heisenberg groups
Vasileios Chousionis, Sean Li, Robert Young
We show that the --numbers of intrinsic Lipschitz graphs of Heisenberg groups are locally Carleson integrable when . Our technique relies on a recent Do…
Foliated corona decompositions
Assaf Naor, Robert Young
We prove that the norm of the vertical perimeter of any measurable subset of the -dimensional Heisenberg group is at most a universal constant multiple of the…
Carnot rectifiability of sub-Riemannian manifolds with constant tangent
Enrico Le Donne, Robert Young
We show that if is a sub-Riemannian manifold and is a Carnot group such that the nilpotentization of at almost every point is isomorphic to , then there are subsets…