Braking system comprising: - a vehicle axle having the following components: ∘ hydraulically acting wheel brakes (RB1, RB2); ∘ at least one pressure supply device (DV1, DV2) for pressure regulation in the wheel brakes (RB1, RB2, H-EMB), which is driven by an electric motor drive (M1, M2); ∘ at least one electronic control and regulation device (ECU-DV1, ECU-DV2, EM-ECU) associated with the pressure supply device (DV1, DV2); and ∘ at least one electric drive motor (TM, TM1, TM2) for driving and braking a vehicle wheel or the vehicle axle; wherein - a superordinate control and regulation unit (M-ECU) is also provided, which in particular is not located on the vehicle axle, for controlling and/or regulating the pressure supply device (DV1, DV2) and the drive motor (TM, TM1, TM2); - wherein it is further provided that: ∘ a pressure supply device (DV1, DV2) is provided for two wheel brakes (RB1, RB2) of the vehicle axle, wherein the pressure supply device (DV1, DV2) supplies both wheel brakes (RB1, RB2) with pressure; and/or that ∘ two pressure supply devices (DV1, DV2) are each provided for one wheel brake (RB1, RB2) of the vehicle axle, wherein each pressure supply device supplies pressure to one wheel brake (RB1, RB2) each; - characterized in that the superordinate control and regulation unit (M-ECU) is configured also to control at least one other driving dynamics function of the vehicle, in addition to a braking function, namely steering and/or damping and/or roll stabilization. - a vehicle axle having the following components: ∘ hydraulically acting wheel brakes (RB1, RB2); ∘ at least one pressure supply device (DV1, DV2) for pressure regulation in the wheel brakes (RB1, RB2, H-EMB), which is driven by an electric motor drive (M1, M2); ∘ at least one electronic control and regulation device (ECU-DV1, ECU-DV2, EM-ECU) associated with the pressure supply device (DV1, DV2); and ∘ at least one electric drive motor (TM, TM1, TM2) for driving and braking a vehicle wheel or the vehicle axle; wherein ∘ hydraulically acting wheel brakes (RB1, RB2); ∘ at least one pressure supply device (DV1, DV2) for pressure regulation in the wheel brakes (RB1, RB2, H-EMB), which is driven by an electric motor drive (M1, M2); ∘ at least one electronic control and regulation device (ECU-DV1, ECU-DV2, EM-ECU) associated with the pressure supply device (DV1, DV2); and ∘ at least one electric drive motor (TM, TM1, TM2) for driving and braking a vehicle wheel or the vehicle axle; wherein - a superordinate control and regulation unit (M-ECU) is also provided, which in particular is not located on the vehicle axle, for controlling and/or regulating the pressure supply device (DV1, DV2) and the drive motor (TM, TM1, TM2); - wherein it is further provided that: ∘ a pressure supply device (DV1, DV2) is provided for two wheel brakes (RB1, RB2) of the vehicle axle, wherein the pressure supply device (DV1, DV2) supplies both wheel brakes (RB1, RB2) with pressure; and/or that ∘ two pressure supply devices (DV1, DV2) are each provided for one wheel brake (RB1, RB2) of the vehicle axle, wherein each pressure supply device supplies pressure to one wheel brake (RB1, RB2) each; ∘ a pressure supply device (DV1, DV2) is provided for two wheel brakes (RB1, RB2) of the vehicle axle, wherein the pressure supply device (DV1, DV2) supplies both wheel brakes (RB1, RB2) with pressure; and/or that ∘ two pressure supply devices (DV1, DV2) are each provided for one wheel brake (RB1, RB2) of the vehicle axle, wherein each pressure supply device supplies pressure to one wheel brake (RB1, RB2) each; - characterized in that the superordinate control and regulation unit (M-ECU) is configured also to control at least one other driving dynamics function of the vehicle, in addition to a braking function, namely steering and/or damping and/or roll stabilization.