Relative Fatou's Theorem for $(-\Delta {)}^{\alpha /2}$-harmonic Functions in Bounded $\kappa$-fat Open Set

Panki Kim

We give a probabilistic proof of relative Fatou's theorem for $(-\Delta {)}^{\alpha /2}$-harmonic functions (equivalently for symmetric $\alpha$-stable processes) in bounded $\kappa$-fat open set where $α…