3 papers
math.CA2022
On the BBM-phenomenon in fractional Poincaré-Sobolev inequalities with weights
Ritva Hurri-Syrjänen, Javier C. Martínez-Perales, Carlos Pérez +1
In this paper we unify and improve some of the results of Bourgain, Brezis and Mironescu and the weighted Poincaré-Sobolev estimate by Fabes, Kenig and Serapioni. More precisely, w…
math.CA2021
Some non-standard biparametric Poincaré type inequalities through harmonic analysis
María Eugenia Cejas, Carolina Mosquera, Carlos Pérez +1
We show some non-standard Poincaré type estimates in the biparametric setting with appropriate weights. We will derive these results using variants from classical estimates exploit…
math.NT2020
A heuristic study of prime number distribution
Carlos Ros Pérez
This work consists of a heuristic study on the distribution of prime numbers in short intervals. We have modelled the occurrence of prime numbers such intervals as a counting exper…