The present invention relates to the use, for stabilizing polymers, in particular polyolefins, with respect to exposure to UV radiation, of fine-particle polymer powders comprising at least one UV absorber. The present invention further relates to stabilizer mixtures for stabilizing polymers with respect to exposure to UV radiation, oxygen and heat, which, inter alia, comprise these polymer powders, and to a process for stabilizing polymers, in particular polyolefins, with respect to exposure to UV radiation, oxygen and heat, which comprises adding, to the polymers, in particular to the polyolefins, an effective amount of these stabilizers. The present invention further relates to polymers, in particular polyolefins, which have been stabilized with respect to exposure to UV radiation or with respect to exposure to UV radiation, oxygen and heat, which comprise an effective amount of these polymer powders or, respectively, stabilizer mixtures, and to articles produced from these stabilized polymers, in particular polyolefins.