Green function estimate for censored stable processes

• 成果类型: Article
• 署名作者: Chen, ZQ; Kim, P
• 署名单位: University of Washington; University of Washington Seattle
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s00440-002-0226-2
• 发表日期: 2002
• 页码: 595-610
• 关键词: boundary

摘要

Sharp two-sided estimates for Green functions of censored alpha-stable process Y in a bounded C-1.1 open set D are obtained, where alpha is an element of (1, 2). It is shown that the Martin boundary and minimal Martin boundary of Y can all be identified with the Euclidean boundary partial derivativeD of D. Sharp two-sided estimates for the Martin kernel of Y are also derived.