Gaugeability for Feynman-Kac functionals with applications to symmetric α-stable processes

被引：12

作者：

Takeda, Masayoshi ^{[1
]}

机构：

[1] Tohoku Univ, Inst Math, Aoba Ku, Sendai, Miyagi 9808578, Japan

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2006年 / 134卷 / 09期

关键词：

symmetric stable process; gaugeability; subcriticality; ultracontractivity; branching process;

D O I：

10.1090/S0002-9939-06-08281-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For symmetric alpha-stable processes, an analytic criterion for a measure being gaugeable was obtained by Z.-Q. Chen ( 2002), M. Takeda ( 2002) and M. Takeda and T. Uemura ( 2004). Applying it, we consider the ultra-contractivity of Feynman-Kac semigroups and expectations of the number of branches hitting closed sets in branching symmetric alpha-stable processes.

引用

页码：2729 / 2738

页数：10

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