2 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]. The…
math.CA2026
Commutators of Fractional Integrals with Functions
You-Wei Benson Chen, Alejandro Claros
We study commutators of the Riesz potential with functions in the capacitary space , defined through the Hausdorff content $\mathcal{H}^β_\i…