8 citations · 8 across the 11 of their papers we have counts for
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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…
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…
Bi-Lipschitz embeddings of Heisenberg submanifolds into Euclidean spaces
Vasileios Chousionis, Sean Li, Vyron Vellis +1
The Heisenberg group equipped with a sub-Riemannian metric is one of the most well known examples of a doubling metric space which does not admit a bi-Lipschitz embedd…