Both the terms UE-AMBR and APN-AMBR are self-explanatory . Once the UE gets authenticated by MME, it triggers Update Location Procedure to inform the HSS about the current serving MME for the UE. As part of this procedure execution, HSS responds back to the MME by using the Update Location Answer message.
Update Location Answer message carries information about AMBR. AMBR AVP presents at the top level tells about UE-AMBR while AMBR AVP which presents within the APN-Configuration-Profile AVP informs about the AMBR associated with the APN.
UE may have connection with multiple APNs and UE-ABMR is the aggregated DL and UL data rates across all non-GBR bearers associated with same or different APNs.