  We investigate the nuclear environment of galaxies with observed 22 GHz water
megamaser in their subparsec edge-on accretion disks, using 33 GHz (9mm) radio
continuum data from VLA, with a resolution of ~ 0.2-0.5 arcsecs, and relate the
maser and host galaxy properties to those of its radio continuum emission.
Eighty-seven percent (21 out of 24) galaxies in our sample show 33 GHz radio
continuum emission at levels of 4.5-240 $\sigma$. Five sources show extended
emission, including one source with two main components and one with three main
components. The remaining detected 16 sources exhibit compact cores within the
sensitivity limits. Little evidence is found for extended jets (>300 pc) in
most sources. Either they do not exist, or our chosen frequency of 33 GHz is
too high for a detection of these supposedly steep spectrum features. In only
one source among those with known maser disk orientation, NGC4388, we found an
extended jet-like feature that appears to be oriented perpendicular to the
water megamaser disk. Smaller 100-300 pc sized jets might also be present, as
is suggested by the beam-deconvolved morphology of our sources. Whenever
possible, central positions with accuracies of 20-280 mas are provided. A
correlation analysis shows that the 33 GHz luminosity weakly correlates with
the infrared luminosity. The 33 GHz luminosity is anticorrelated with the
circular velocity of the galaxy. The black hole masses show stronger
correlations with water maser luminosity than with 1.4 GHz, 33 GHz, or hard
X-ray luminosities. Furthermore, the inner radii of the disks show stronger
correlations with 1.4 GHz, 33 GHz, and hard X-ray luminosities than their outer
radii, suggesting that the outer radii may be affected by disk warping, star
formation, or peculiar density distributions.
