Green function estimate for censored stable processes
type: Item
instance of: scholarly article
title: Green function estimate for censored stable processes
zbMATH Open document ID: 1016.60070
author: Zhen-Qing Chen
author: Panki Kim
publication date: 2003-05-04T00:00:00Z
review text: The censored stable processes were defined by \textit{K. Bogdan, K. Burdzy} and \textit{Z.-Q. Chen} [``Censored stable processes'' (Preprint 2001)]. The paper under review gives a sharp, two-sided estimate for the Green function of such a process in bounded \(C^{1,1}\) open sets from \(R^{n}\). For such domains, it is shown that the Martin boundary and the minimal Martin boundary of the process are identified with the Euclidean boundary. Sharp, two-sided estimates for the Martin kernel are also obtained.
Mathematics Subject Classification ID: 60J45
Mathematics Subject Classification ID: 31C15
Mathematics Subject Classification ID: 31C35
Mathematics Subject Classification ID: 60G52
zbMATH DE Number: 1903696
zbMATH Keywords: censored stable process
zbMATH Keywords: Green function
zbMATH Keywords: Martin kernel
zbMATH Keywords: Martin boundary
reviewed by: Liliana Popa
MaRDI profile type: Publication
full work available at URL: s00440-002-0226-2
OpenAlex ID: W1190262
DOI: 10.1007/S00440-002-0226-2
published in: Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
description: scientific article; zbMATH DE number 1903696