Boundary Harnack Principle for fractional powers of Laplacian on the Sierpinski carpet

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74517We 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 a probabilistic method based on the Ikeda-Watanabe formulaProbability60J45; 60J35Boundary Harnack Principle for fractional powers of Laplacian on the Sierpinski carpettext