Symmetric stable processes on unbounded domains
type: Item
instance of: scholarly article
title: Symmetric stable processes on unbounded domains
zbMATH Open document ID: 1111.31004
published in: Potential Analysis
publication date: 2006-12-06T00:00:00Z
review text: The author gives necessary and sufficient conditions for the expectation of a function of the exit time by a symmetric \(\alpha\)-stable process from a horn-shaped domain to be finite. The results of this paper are generalizations of earlier results contained in a paper by \textit{T. Kulczycki} and the author [Trans. Am. Math. Soc. 358, No. 11, 5025--5057 (2006; Zbl 1112.47034)] and a recent preprint by P. Mendez. The author established his main results using heat kernel estimates.
reviewed by: Renming Song
Mathematics Subject Classification ID: 31B05
Mathematics Subject Classification ID: 60J45
zbMATH DE Number: 5077653
zbMATH Keywords: exit time
zbMATH Keywords: heat kernel
zbMATH Keywords: horn-shaped domain
author: Bartłomiej Andrzej Siudeja
MaRDI profile type: Publication
full work available at URL: s11118-006-9022-4
OpenAlex ID: W2126885601
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DOI: 10.1007/S11118-006-9022-4
description: scientific article; zbMATH DE number 5077653