Carmelo Puliatti

activity

20172025

most cited

L^{2}

-boundedness of gradients of single layer potentials and uniform rectifiability

4 citations · 4 across the 6 of their papers we have counts for

collaborators

Showing 2018Show all

2 papers · 1 filter

math.CA2018★ 4 cited

$L^{2}$ -boundedness of gradients of single layer potentials and uniform rectifiability

Laura Prat, Carmelo Puliatti, Xavier Tolsa

Let $A (\cdot)$ be an $(n + 1) \times (n + 1)$ uniformly elliptic matrix with Hölder continuous real coefficients and let $E_{A} (x, y)$ be the fundamental solution of the PDE $\mat…

math.CA2018

Measures that define a compact Cauchy transform

Carmelo Puliatti

The aim of this work is to provide a geometric characterization of the positive Radon measures $μ$ with compact support on the plane such that the associated Cauchy transform defin…

L2-boundedness of gradients of single layer potentials and uniform rectifiability

Measures that define a compact Cauchy transform

$L^{2}$ -boundedness of gradients of single layer potentials and uniform rectifiability