Oregon Revised Statutes Cities § 226.010

Every incorporated city or municipal corporation owning or controlling any lands without its boundaries may enact any police or penal ordinance necessary to protect the same or preserve the peace and order therein or regulate the use of such park, enforce the ordinance by penalties of fine or imprisonment and make arrests and serve process of courts therein or upon persons therein or thereon in like manner and with like effect as the same might be enacted or enforced within its corporate limits.