69 citations · 72 across the 7 of their papers we have counts for
4 papers · 1 filter
Martin kernel for fractional Laplacian in narrow cones
Krzysztof Bogdan, Bartłomiej Siudeja, Andrzej Stós
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.
Stable semigroups on homogeneous trees and hyperbolic spaces
Andrzej Stos
We prove the kernel estimates related to subordinated semigroups on homogeneous trees. We study the long time propagation problem. We exploit this to show exit time estimates for (…
Poisson kernels of half-spaces in real hyperbolic spaces
T. Byczkowski, P. Graczyk, A. Stos
We provide an integral formula for the Poisson kernel of half-spaces for Brownian motion in real hyperbolic space $\H^n$. This enables us to find asymptotic properties of the kerne…
Boundary Harnack Principle for fractional powers of Laplacian on the Sierpinski carpet
Andrzej Stos
We prove the Boundary Harnack Principle related to fractional powers of Laplacian for some natural regions in the two-dimensional Sierpinski carpet. This is a natual application of…