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• W2111781114 abstract "For any $$alpha in (0, 2)$$ , a truncated symmetric α-stable process is a symmetric Lévy process in $$mathbb{R}^{d}$$ with a Lévy density given by $$c|x|^{-d-alpha} 1_{{|x| < 1}}$$ for some constant c. In this paper we study the potential theory of truncated symmetric stable processes in detail. We prove a Harnack inequality for nonnegative harmonic functions of these processes. We also establish a boundary Harnack principle for nonnegative functions which are harmonic with respect to these processes in bounded convex domains. We give an example of a non-convex domain for which the boundary Harnack principle fails." @default.
• W2111781114 created "2016-06-24" @default.
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• W2111781114 date "2006-11-04" @default.
• W2111781114 modified "2023-09-23" @default.
• W2111781114 title "Potential theory of truncated stable processes" @default.
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• W2111781114 doi "https://doi.org/10.1007/s00209-006-0063-6" @default.
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