Boundary Behavior of Harmonic Functions for Truncated Stable Processes

Panki Kim () and Renming Song ()
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Panki Kim: Seoul National University
Renming Song: University of Illinois

Journal of Theoretical Probability, 2008, vol. 21, issue 2, 287-321

Abstract: Abstract For any α∈(0,2), a truncated symmetric α-stable process in ℝ d is a symmetric Lévy process in ℝ d with no diffusion part and with a Lévy density given by c|x|−d−α 1{|x|

Keywords: Green functions; Poisson kernels; Truncated symmetric stable processes; Symmetric stable processes; Harmonic functions; Harnack inequality; Boundary Harnack principle; Martin boundary; Relative Fatou theorem; Relative Fatou type theorem; 60J45; 60J75; 60J25; 60J50 (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1007/s10959-008-0145-y

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