We compute the capacity region of a sum of broadcast channels whose components are degraded, less-noisy, more-capable, deterministic, or semi-deterministic. We achieve this by showing that an auxiliary-receiver outer bound, previously introduced by some of the authors, matches Marton's inner bound. This result generalizes a previously known result for the sum of two reversely degraded broadcast channels due to El Gamal (1980). Moreover, we define a class of primary broadcast channels and show an analogous result for the sum of primary broadcast channels.

翻译：摘要：我们计算了分量信道为退化型、低噪声型、高能力型、确定型或半确定型的和广播信道的容量区域。通过证明先前由部分作者引入的辅助接收机外部界与Marton内部界相匹配，我们实现了这一结果。该结论推广了El Gamal（1980）关于两个反向退化广播信道和的一个已知结果。此外，我们定义了一类主广播信道，并展示了主广播信道和的一个类似结论。