Depends on two things - one, whether all your flights are booked on one itinerary and two, the individual airlines' interline policies.
If the flights are all on one itinerary, then there is a good chance that a more generous allowance will apply. However, saying that I read today about a passenger who travelled on two Oneworld carriers, the latter of the two had a more stringent baggage policy and was penalised at transfer.
Unless someone comes up with something more definitive, the only way you're likely to get the answer is if you contact the airlines...