Martin kernel for fractional Laplacian in narrow cones

Krzysztof Bogdan (1) , Bartłomiej Siudeja (2) , Andrzej Stós (3)

1 IMCS - Institute of Mathematics and Computer Science [Wroclaw]
2 University of Oregon, Eugene
3 LMBP - Laboratoire de Mathématiques Blaise Pascal

We give a power law for the homogeneity degree of the Martin kernel of the fractional Laplacian for the right circular cone when the angle of the cone tends to zero.

Domaines: Probabilités [math.PR]; Analyse classique [math.CA]

Krzysztof Bogdan, Bartłomiej Siudeja, Andrzej Stós. Martin kernel for fractional Laplacian in narrow cones. 2014. ⟨hal-01060384⟩