most citedBoundary Harnack Principle for fractional powers of Laplacian on the Sierpinski carpet

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math.PR2005

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…

math.PR2005★ 1 cited

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…