Vasileios Chousionis

collaborators

5 papers

math.MG2020

The strong geometric lemma for intrinsic Lipschitz graphs in Heisenberg groups

Vasileios Chousionis, Sean Li, Robert Young

We show that the $β$ --numbers of intrinsic Lipschitz graphs of Heisenberg groups $H_{n}$ are locally Carleson integrable when $n \geq 2$ . Our technique relies on a recent Do…

math.CA2020

Singular integrals on $C^{1, α}$ regular curves in Carnot groups

Vasileios Chousionis, Sean Li, Scott Zimmerman

Let $G$ be any Carnot group. We prove that if a convolution type singular integral associated with a $1$ -dimensional Calderón-Zygmund kernel is $L^{2}$ -bounded on horizontal…

math.MG2018

Bi-Lipschitz embeddings of Heisenberg submanifolds into Euclidean spaces

Vasileios Chousionis, Sean Li, Vyron Vellis +1

The Heisenberg group $H$ 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…

math.DS2018

On the dimension spectrum of infinite subsystems of continued fractions

Vasileios Chousionis, Dmitriy Leykekhman, Mariusz Urbański

In this paper we study the dimension spectrum of continued fractions with coefficients restricted to infinite subsets of natural numbers. We prove that if $E$ is any arithmetic pro…