Seems strange that it apparently hasn't been done before, but Oculus Photonics has introduced the world's first UV camcorder, called the UVCorder(TM). The press release on Laboratorytalk says that it images in the 300-400nm range (near-UV band with peak at 370nm). The UV subsection of the system is actually a module that mounts on a visible light camcorder (both included as part of the system). The UV video is displayed on a 3.5 inch (8.9 cm) LCD.
Sounds pretty neat from the description, but seeing some images helps non-specialists understand why UV imaging is used in forensics. You can see some right now by going to their site and watching the Flash presention of visible and UV stills. Disappointingly, no video from the unit was posted on the site. They do list the main technical specifications, where it states that this particular Sony visible light camcorder uses Memory Stick for storing the images (still and AVI) and that it weighs 1.2 lbs (0.54 kg).
(Image source: UVCorder website)