28 citations · 60 across the 15 of their papers we have counts for
Showing 2008Show all
3 papers · 1 filter
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…
math.FA2008★ 5 cited
Boundedness and convergence for singular integrals of measures separated by Lipschitz graphs
Vasilis Chousionis, Pertti Mattila
We shall consider the truncated singular integral operators T_{μ, K}^εf(x)=\int_{\mathbb{R}^{n}\setminus B(x,ε)}K(x-y)f(y)dμy and related maximal operators $T_{μ,K}^{\ast}f(x)=\und…