  We have surveyed two large samples of nearby low-luminosity AGN with the VLA
to search for flat-spectrum radio cores, similar to Sgr A* in the Galactic
Center. Roughly one third of all galaxies are detected (roughly one half if HII
transition objects are excluded from the sample), many of which have compact
radio cores. Follow-up observations with the VLBA have confirmed that these
cores are non-thermal in origin, with lower limits for the brightness
temperatures around ~10^8 K. The brightest of these are resolved into linear
structures. The radio spectral indices of the cores are quite flat (alpha~0),
with no evidence for the highly inverted radio cores predicted in the ADAF
model. Spectrum and morphology of the compact radio emission is typical for
radio jets seen also in more luminous AGN. The emission-line luminosity seems
to be correlated with the radio core flux. Together with the VLBI observations
this suggests that optical and radio emission in at least half the
low-luminosity Seyferts and LINERs are black hole powered. We find only a weak
correlation between bulge luminosity and radio flux and an apparently different
efficiency between elliptical and spiral galaxies for producing radio emission
at a given optical luminosity.
