This is the 4th logo to HBO of the total 6. The HBO Home Video DVD logo aka "HBO DVD in Space" used from 1998 to 2003 and can be seen on early HBO DVD releases.
Home Box Office is an American cable and satelite TV network that is owned by Time Warner and is the oldest & longest continuously operating pay TV service in USA. HBO founded in 1972 by Charles F. Dolan.
Check this link for more info about HBO: www.hbo.com