On states of total weighted occupation times of a class of infinitely divisible superprocesses on a bounded domain

被引：4

作者：

Ren, Yan-Xia ^{[2
]}

Wang, Hao ^{[1
]}

机构：

[1] Univ Oregon, Dept Math, Eugene, OR 97403 USA

[2] Peking Univ, LMAM Sch Math Sci, Beijing 100871, Peoples R China

来源：

POTENTIAL ANALYSIS | 2008年 / 28卷 / 02期

基金：

中国国家自然科学基金;

关键词：

absolute continuity; singularity; total weighted occupation time; super-stable process; super-geometric stable process;

D O I：

10.1007/s11118-007-9073-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, general conditions of state classification for the total weighted occupation times of a class of infinitely divisible superprocesses on a bounded domain D in R-d are given. As an application, some sufficient and necessary conditions are found for the total weighted occupation times of some special superprocesses on D to be absolutely continuous or singular with respect to the Lebesgue measure on D.

引用

页码：105 / 137

页数：33

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