2 papers
math.MG2023
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…
math.MG2022
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…