数学物理学报(英文版)

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ABSOLUTE CONTINUITIES OF EXIT MEASURES AND TOTAL WEIGHTED OCCUPATION TIME MEASURES FOR SUPER-α-STABLE PROCESSES

张静; 任艳霞   

  1. 内蒙古大学科技学院, 呼和浩特 010020 北京大学数学学院, 北京 100871
  • 收稿日期:2004-04-08 修回日期:1900-01-01 出版日期:2006-04-20 发布日期:2006-04-20
  • 通讯作者: 张静
  • 基金资助:

    Supported by NNSF of China (10001020 and 10471003),
    Foundation for Authors Awarded Excellent Ph.D.Dissertation.

ABSOLUTE CONTINUITIES OF EXIT MEASURES AND TOTAL WEIGHTED OCCUPATION TIME MEASURES FOR SUPER-α-STABLE PROCESSES

Zhang Jing; Ren Yanxia   

  1. College of Science and Technology, Inner Mongolia University, Hohhot 010020, China
    School of Mathematical Sciences, Peking University, Beijing 100871, China
  • Received:2004-04-08 Revised:1900-01-01 Online:2006-04-20 Published:2006-04-20
  • Contact: Zhang Jing

摘要:

Suppose X is a super-α-stable process in Rd, (0<α<2), whose branching rate function is dt, and branching mechanism is of the form ψ(z)=z1+β
(0<β≤1). Let Xτ and Yτ denote the exit measure and the total weighted occupation time measure of X in a bounded smooth domain D, respectively. The absolute continuities of Xτ and Yτ are discussed.

关键词: Super-α-stable process, absolute continuity, exit measure, total weighted occupation time measure

Abstract:

Suppose X is a super-α-stable process in Rd, (0<α<2), whose branching rate function is dt, and branching mechanism is of the form ψ(z)=z1+β
(0<β≤1). Let Xτ and Yτ denote the exit measure and the total weighted occupation time measure of X in a bounded smooth domain D, respectively. The absolute continuities of Xτ and Yτ are discussed.

Key words: Super-α-stable process, absolute continuity, exit measure, total weighted occupation time measure

中图分类号: 

  • 60J80