Corporate censorship is when a company, like a newspaper or a tv station, won't share an opinion or a story because it doesn't match the beliefs or values of the people running the company. It could be that they don't like what the opinion stands for, or they don't agree with the story, or maybe they just don't think that it's the kind of thing they should show. So they won't publish or air the opinion or story. In other words, they stop it from being shared with other people.