V. Chousionis

activity

20082018

most citedFractal solutions of linear and nonlinear dispersive partial differential equations

28 citations · 60 across the 15 of their papers we have counts for

collaborators

Showing 2011Show all

2 papers · 1 filter

math.CA2011

Capacities associated with Calderón-Zygmund kernels

Vasilis Chousionis, Joan Mateu, Laura Prat +1

Analytic capacity is associated with the Cauchy kernel $1/ z$ and the $L^{\infty}$ -norm. For $n \in N$ , one has likewise capacities related to the kernels $K_i(x)=x_i^{2n-1}/|x…

math.CA2011

Calderón-Zygmund kernels and rectifiability in the plane

Vasilis Chousionis, Joan Mateu, Laura Prat +1

Let $E \subset \C$ be a Borel set with finite length, that is, $0 < H^{1} (E) < \infty$ . By a theorem of David and Léger, the $L^{2} (H^{1} ⌊ E)$ -boundedness of the…