Kamil Kaleta, Mateusz Kwaśnicki
Abstract
ABSTRACT. We prove a uniform boundary Harnack inequality for nonnegative functions harmonic with respect to α-stable process on the Sierpiński triangle, where α ∈ (0, 1). Our result requires no regularity assumptions on the domain of harmonicity. 1.
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ABSTRACT. We prove a uniform boundary Harnack inequality for nonnegative functions harmonic with respect to α-stable process on the Sierpiński triangle, where α ∈ (0, 1). Our result requires no regularity assumptions on the domain of harmonicity. 1.
Key concepts: Harnack's principle, Harnack's inequality, Harmonic function, Mathematics, Boundary (topology), Mathematical analysis, Harmonic, Domain (mathematical analysis)