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math.AP2021
The Hajłasz capacity density condition is self-improving
Javier Canto, Antti V. Vähäkangas
We prove a self-improvement property of a capacity density condition for a nonlocal Hajlasz gradient in complete geodesic spaces. The proof relates the capacity density condition w…
math.AP2010
On extension of Green's operator on bounded smooth domains
Antti Vähäkangas
We prove a regularity result for Green's functions that are associated to elliptic second order divergence-type linear PDO's with coefficients in C^{1,α}(\barΩ). Here α\in (0,1) an…