A multilayer antenna arrangement is distinguished in particular by the following features: a further patch antenna (B) comprising a dielectric carrier and a radiation plane is provided above the base portion or central portion of the patch arrangement, the radiation plane being provided on the upper side, opposite the base portion or central portion, of the dielectric carrier, and the further patch antenna (B) is buried at least in part in the parasitic patch arrangement, which is configured so as to be box-shaped or box-like, and/or the parasitic patch arrangement which is configured so as to be box-shaped or box-like is formed, completely or in part, as electrically conductive planes, which are provided on the further patch antenna (B) at least in partial regions on the circumferential edge surface or outer surface thereof.