A projection exposure apparatus for the exposure of a radiation-sensitive substrate arranged in the region of an image surface of a projection objective with at least one image of a pattern of a mask that is arranged in the region of an object surface of the projection objective has a light source for emitting ultraviolet light from a wavelength band having a bandwidth Δλ>10 pm around a central operating wavelength λ>200 nm; an illumination system for receiving the light from the light source and for directing illumination radiation onto the pattern of the mask; and a projection objective for the imaging of the structure of the mask onto a light-sensitive substrate. The projection objective is a catadioptric projection objective having at least one concave mirror arranged in a region of a pupil surface of the projection objective, and a negative group having at least one negative lens arranged in direct proximity to the concave mirror in a region near the pupil surface, where a marginal ray height (MRH) of the imaging is greater than a chief ray height (CRH).