The Ultraviolet and Visible-Light Coronagraphic Imager is the baseline coronagraph for the European Space Agency's payload Solar Orbiter, a solar mission whose launch in 2011 is expected. To prove the feasibility of its innovative design, a sounding rocket version of the same instrument has been approved by NASA. One of the main technological challenges of the instrument is the achievement of multilayer optical coatings with suitable properties. We describe the design, fabrication, and characterization of such coatings.