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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]. The…
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…