Does Norway require gun owners to be licensed, their arms to be registered, and transactions documented?
For the most part, we already have that in the US.
Arizona has very little in gun restrictions, compared to other states. But it nonetheless requires background checks, delivery through a registered gun dealer, etc.
The easy way is to just say "we need more strict gun laws.
The tough way, is to analyze government failures in these shootings, and to insist government shape up.
BTW why aren't you calling for stricter rules for vehicle, pressure cooker, knife and fertilizer sales?