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 2014 · math.CAShow all

2 papers · 2 filters

math.CA2014

Some Calderón-Zygmund kernels and their relations to Wolff capacities and rectifiability

Vasilis Chousionis, Laura Prat

We consider the Calderón-Zygmund kernels $K_{α, n} (x) = (x_{i}^{2 n - 1} /∣ x ∣^{2 n - 1 + α})_{i = 1}^{d}$ in $R^{n}$ for $0 < α \leq 1$ and $n \in N$ . We show that, on the plane, for $0<…

math.CA2014★ 2 cited

Square functions and uniform rectifiability

Vasilis Chousionis, John Garnett, Triet Le +1

In this paper it is shown that an Ahlfors-David $n$ -dimensional measure $μ$ on $R^{d}$ is uniformly $n$ -rectifiable if and only if for any ball $B (x_{0}, R)$ centered at $\oper…