A multiband antenna, and component for implementing a multiband antenna for, e.g., a small-sized radio device. In one embodiment, the antenna component comprises a simple and reliable dielectric substrate, the conductive coating of which forms a radiating element. This has a plurality (e.g., two) resonances for forming separate operating bands. The lower resonance is based on the entire element, and the upper resonance on the head part of the element. The conductive coating has a pattern, which functions as a parallel resonance circuit between the head part and the tail part of the element. The natural frequency of this parallel resonance circuit is in the range of the upper operating band of the antenna. The resonance frequencies of the antenna and thus its operating bands can be tuned independently of each other so that the tuning cycle need not be repeated.