Laura Prat

activity

20042026

most cited

L^{2}

-boundedness of gradients of single layer potentials and uniform rectifiability

4 citations · 4 across the 12 of their papers we have counts for

collaborators

Showing 2014Show all

2 papers · 1 filter

math.CA2014

Square functions of fractional homogeneity and Wolff potentials

Vasileios Chousionis, Laura Prat, Xavier Tolsa

In this paper it is shown that for anymeasure $μ$ in $R^{d}$ and for a non-integer $0 < s < d$ , the Wolff energy $\displaystyle{\iint_0^\infty(\frac{μ(B(x,r))}{r^s})^2\,\frac{dr…

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<…