We discuss QCD sum rule constraints based on moments of vector meson spectral
distributions in the vacuum and in a nuclear medium. Sum rules for the two
lowest moments of these spectral distributions do not suffer from uncertainties
related to QCD condensates of dimension higher than four. We exemplify these
relations for the case of the omega meson and discuss the issue of in-medium
mass shifts from this viewpoint.Comment: 6 pages, 2 figures, to appear in Eur. Phys. J.