Carmelo Puliatti

activity

20172022

collaborators

5 papers

math.MG2022

On the density problem in the parabolic space

Andrea Merlo, Mihalis Mourgoglou, Carmelo Puliatti

In this work we extend many classical results concerning the relationship between densities, tangents and rectifiability to the parabolic spaces, namely $R^{n + 1}$ equipped…

math.AP2020

Blow-ups of caloric measure in time varying domains and applications to two-phase problems

Mihalis Mourgoglou, Carmelo Puliatti

We develop a method to study the structure of the common part of the boundaries of disjoint and possibly non-complementary time-varying domains in $R^{n + 1}$ , $n \geq 2$ , a…

math.AP2019

Gradient of the single layer potential and quantitative rectifiability for general Radon measures

Carmelo Puliatti

We identify a set of sufficient local conditions under which a significant portion of a Radon measure $μ$ on $R^{n + 1}$ with compact support can be covered by an $n$ -unifor…

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…

math.AP2017

Estimates for the Maximal Cauchy Integral on Chord-arc Curves

Carmelo Puliatti

We study the chord-arc Jordan curves that satisfy the Cotlar-type inequality $T_{*} (f) ≲ M^{2} (T f),$ where $T$ is the Cauchy transform, $T_{*}$ is the maximal Cauchy transform and…