UNITED STATES SECURITIES AND EXCHANGE COMMISSION WASHINGTON, DC 20549 ________________________ FORM 10-Q (Mark One) x QUARTERLY REPORT PURSUANT TO SECTION 13 OR 15(d) OF THE SECURITIES EXCHANGE ACT OF 1934 For the quarterly period ended March 31, 2019 or ¨ TRANSITION REPORT PURSUANT TO SECTION 13 OR 15(d) OF THE SECURITIES EXCHANGE ACT OF 1934 For the transition period from _______________ to _______________. Commission file number 001-08789 ________________________ American Shared Hospital Services (Exact ...