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arXiv 0907.0793math.PR
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Boundary Harnack Inequality for alpha-harmonic functions on the Sierpiński triangle

Kamil Kaleta, Mateusz Kwaśnicki

英文摘要:

We prove an uniform boundary Harnack inequality for nonnegative functions harmonic with respect to $α$-stable process on the Sierpi{ń}ski triangle, where $α\in (0, 1)$. Our result requires no regularity assumptions on the domain of harmonicity.

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