The Capacity Region for Broadcast Channels with Conditionally Independent Message Sets

A more general class of broadcast channels with conditionally independent message sets is defined and its capacity region is determined using Marton ´s inner bound and the outer bound considered by Nair and El Gamal. The capacity region for this class of channels includes the capacity region for broadcast channels with degraded message sets, semi-deterministic broadcast channels, deterministic broadcast channels with and without common information, less noisy and (special) more capable broadcast channels.