Krzysztof Bogdan, Andrzej Stós, Paweł Sztonyk
Abstract
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We investigate properties of functions which are harmonic with respect to $\alpha $-stable processes on $d$-sets such as the Sierpiński gasket or carpet. We prove the Harnack inequality for such functions. For every process we estimate its transition dens
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We investigate properties of functions which are harmonic with respect to $\alpha $-stable processes on $d$-sets such as the Sierpiński gasket or carpet. We prove the Harnack inequality for such functions. For every process we estimate its transition dens
Key concepts: Harnack's inequality, Harnack's principle, Mathematics, Harmonic function, Sierpinski triangle, Pure mathematics, Inequality, Harmonic