STABILITY OF THE FELLER PROPERTY FOR NON-LOCAL OPERATORS UNDER BOUNDED PERTURBATIONS

被引：2

作者：

Shiozawa, Yuichi ^{[1
]}

Uemura, Toshihiro ^{[2
]}

机构：

[1] Ritsumeikan Univ, Coll Sci & Engn, Kusatsu Shiga 5258577, Japan

[2] Univ Hyogo, Sch Business Adm, Kobe, Hyogo 6512197, Japan

来源：

GLASNIK MATEMATICKI | 2010年 / 45卷 / 01期

关键词：

Integro-differential operator; Feller semigroup; symmetric Dirichlet form of jump-type; stable-like process; STABLE-LIKE PROCESSES; MARKOV-PROCESSES; PATH PROPERTIES; VARIABLE ORDER;

D O I：

10.3336/gm.45.1.12

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is known that the Feller property of a semigroup is stable under a bounded perturbation of the infinitesimal generator. Applying this, we derive the Feller property for a class of integro-differential operators including symmetric stable-like processes.

引用

页码：155 / 172

页数：18

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