Probably paperback originals, definitely published during the 1980s. American author. At least two volumes (I only read the first), possibly more.
The time is the near future and the Moon has been colonized. There is a Lunar police force & the main characters are a pair of hard-boiled detectives (possibly ex-NYPD; the story has a real 'New York City' vibe). Can't remember the plot, but the bad guys are the Mafia (so named) who are muscling in on the Final Frontier. The only other detail I can recall is that the MCs travelled by ballistic capsules that hurled them from one place to another.