3 papers
math.CA2026
From generalized Poincaré to Poincaré-Sobolev inequalities via self-improving methods
Alejandro Claros, Carlos Pérez, Linfei Zheng
We establish several improvements to the main results of [PR19] and [CP21], refining the seminal self-improving method for generalized Poincaré inequalities from [FPW98, MP98]. Th…
math.AP2026
Bourgain-Brezis-Mironescu formula for Riesz Potentials
Alejandro Claros, Carlos Pérez
We identify the Bourgain-Brezis-Mironescu pointwise limit of the nonlocal potential operator , , where denotes the Riesz potential and…
math.CA2024
A new look at subrepresentation formulas
Cong Hoang, Kabe Moen, Carlos Pérez
We extend the subrepresentation formula in several ways. First, we consider more general -potential operators on the right-hand side an…