Glasnik Matematicki, Vol. 45, No.1 (2010), 155-172.

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

Yuichi Shiozawa and Toshihiro Uemura

College of Science and Engineering, Ritsumeikan University, Kusatsu Shiga 525-8577, Japan
Current address: Graduate School of Natural Science and Engineering, Okayama University, Okayama 700-8530, Japan
e-mail: shiozawa@ems.okayama-u.ac.jp

School of Business Administration, University of Hyogo, Kobe 651-2197, Japan
Current address: Department of Mathematics, Faculty of Engineering Science, Kansai University, Suita, Osaka 564-8680, Japan
e-mail: uemura@biz.u-hyogo.ac.jp
e-mail: t-uemura@kansai-u.ac.jp

Abstract.   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.

2000 Mathematics Subject Classification.   47G20, 60J75, 31C25.

Key words and phrases.   Integro-differential operator, Feller semigroup, symmetric Dirichlet form of jump-type, stable-like process.

Full text (PDF) (free access)

DOI: 10.3336/gm.45.1.12

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