Diogo Oliveira e Silva

collaborators

2 papers

math.CA2019

Smoothness of solutions of a convolution equation of restricted-type on the sphere

Diogo Oliveira e Silva, René Quilodrán

Let $S^{d - 1}$ denote the unit sphere in Euclidean space $R^{d}$ , $d \geq 2$ , equipped with surface measure $σ_{d - 1}$ . An instance of our main result concerns the reg…

math.CA2018

A comparison principle for convolution measures with applications

Diogo Oliveira e Silva, René Quilodrán

We establish the general form of a geometric comparison principle for $n$ -fold convolutions of certain singular measures in $R^{d}$ which holds for arbitrary $n$ and $d$ . Th…