Provided is an apparatus for heating plastic parisons, including a transport device or transporter, which transports the plastic parisons at least in sections along a predefined transport path, wherein the transport device or transporter has a plurality of holding devices or holders for holding the plastic parisons, with a heating device or heaters for heating the plastic parisons at least at times, while they are being transported by the transport device or transporters, wherein the apparatus has at least one heat shielding device or heat shield which is suitable and intended to counteract the heating of mouth regions of the plastic parisons.