The recent mass shootings in the United States were widely covered by the media. It isn't a new observation that the extensive coverage of such events aid in the popularization of the killer and also benefit any possible political agenda that they may have had. In fact, in many cases, these benefits are likely to be the primary motivating factor for the shooting.
With that in mind, it seems obvious that a possible preventative measure is to limit the coverage of such events, at least to the extent that the shooter and their message isn't popularized and widely distributed and given the attention that the shooter clearly wants. Yet, this doesn't happen. Instead, the shooter's name and face is widely distributed, their opinions on Facebook or Twitter are detailed, and their manifests are put on a nice PDF and distributed to anybody who wants to read it.
Are there any ways in which one can regulate such behavior by the media (or anybody else, e.g. social media users) under the pretense of some sort of censorship law?
Are any politicians or parties pushing for such ideas? Does such regulation exist in other countries?