(a) Notwithstanding the provisions of this article, any owner, lessee or other person charged with the care, custody and control of real property may prohibit the carrying openly or concealed of any firearm or deadly weapon on property under his or her domain.
(b) Any person carrying or possessing a firearm or other deadly weapon on the property of another who refuses to temporarily relinquish possession of such firearm or other deadly weapon, upon being requested to do so, or to leave such premises, while in possession of such firearm or other deadly weapon, shall be guilty of a misdemeanor, and, upon conviction thereof, shall be fined not more than one thousand dollars ($1,000).