Carmelo Puliatti

activity

20172022

collaborators

Showing math.APShow all

3 papers · 1 filter

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.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…