Facts
A pedestrian street means that only certain motorised vehicles may be driven there. Ambulance transport, transport to and from residence/hotel, as well as goods deliveries, for example, are permitted to drive on pedestrian streets.
All vehicles are allowed to cross the pedestrian street, but then the rules of the pedestrian speed area are applied, which in short means that you have an obligation to give way to pedestrians and that the maximum speed is walking speed. Thus, the same rules apply as when crossing a cycle path.
