Potential theory of truncated stable processes (2006).

Content Provider	CiteSeerX
Author	Kim, Panki Song, Renming
Abstract	For any α ∈ (0, 2), a truncated symmetric α-stable process is a symmetric Lévy process in R d with a Lévy density given by c x −d−α 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 nonnegative 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.
File Format	PDF
Publisher Date	2006-01-01
Access Restriction	Open
Subject Keyword	Potential Theory Stable Process Truncated Symmetric Stable Process Nonnegative Function Non-convex Domain Vy Density Boundary Harnack Principle Bounded Convex Domain Nonnegative Harmonic Nonnegative Function Harnack Inequality Boundary Harnack Principle Fails Symmetric Vy Process
Content Type	Text
Resource Type	Article