most citedDirected porosity on conformal iterated function systems and weak convergence of singular integrals

8 citations · 8 across the 2 of their papers we have counts for

collaborators

3 papers

math.DS2016

Conformal graph directed Markov systems on Carnot groups

Vasilis Chousionis, Jeremy T. Tyson, Mariusz Urbański

We develop a comprehensive theory of conformal graph directed Markov systems in the non-Riemannian setting of Carnot groups equipped with a sub-Riemannian metric. In particular, we…

math.DS2008★ 8 cited

Directed porosity on conformal iterated function systems and weak convergence of singular integrals

Vasilis Chousionis

The aim of the present paper is twofold. We study directed porosity in connection with conformal iterated function systems (CIFS) and with singular integrals. We prove that limit s…

math.FA2008

Singular integrals on Sierpinski gaskets

Vasilis Chousionis

We construct a class of singular integral operators associated with homogeneous Calderón-Zygmund standard kernels on -dimensional, , Sierpinski gaskets . These operat…