Green function estimate for censored stable processes

被引：52

作者：

Chen, ZQ ^{[1
]}

Kim, P ^{[1
]}

机构：

[1] Univ Washington, Dept Math, Seattle, WA 98195 USA

来源：

PROBABILITY THEORY AND RELATED FIELDS | 2002年 / 124卷 / 04期

关键词：

censored stable process; Green function; capacity; Martin boundary; Martin kernel; harmonic function;

D O I：

10.1007/s00440-002-0226-2

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

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.

引用

页码：595 / 610

页数：16

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[3]

BLUMENTHAL RM, 1968, MARKOV PROCESSES POT

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Bogdan K, 1997, STUD MATH, V123, P43