An electronic device may be provided with wireless circuitry and control circuitry. The wireless circuitry may include multiple antennas and transceiver circuitry. An antenna in the electronic device may have an inverted-F antenna resonating element formed from portions of a peripheral conductive electronic device housing structure and may have an antenna ground that is separated from the antenna resonating element by a gap. The antenna ground for the antenna may include a conductive frame for the display. The conductive frame may have a first portion that is separated from the antenna resonating element arm by a first distance and a second portion that is separated from the antenna resonating element arm by a second distance that is less than the first distance. The second portion may be configured to form a distributed impedance matching capacitance with the antenna resonating element arm.