If your second flight is on AA, whether the first carrier will interline checked baggage depends on whether the first carrier has an interline baggage agreement with AA. If the first airline does, then the next question is whether that airline's policy allows through-checking of baggage on separate tickets.

AA will not through-check bags to AS on separate tickets unless both tickets are on the same PNR. On the other hand, AS will through-check bags to AA on separate tickets, even if the tickets are on separate PNRs.