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
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
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页码:155 / 172
页数:18
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