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Harnack inequality for symmetric stable processes on fractals

✍ Scribed by Krzysztof Bogdan; Andrzej Stós; Paweł Sztonyk


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
63 KB
Volume
335
Category
Article
ISSN
1631-073X

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Boundary Harnack Principle for Symmetric
✍ Renming Song; Jang-Mei Wu 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 189 KB

In this paper we study potential-theoretic properties of the symmetric :-stable processes (0<:<2): establishing the boundary Harnack principle for ratios of :-harmonic functions on any open sets, identifying the Martin boundary with the Euclidean boundary for open sets with a certain interior fatnes