  We present the results of a radio monitoring campaign to search for radio
emission from nearby ultra-luminous X-ray sources (ULXs). These sources are
bright off-nuclear X-ray point sources with luminosities exceeding L_X > 10^39
erg/sec. A well-defined sample of the 9 nearest ULXs has been monitored eight
times during 5 months with the Very Large Array in A and B configuration. Our
limiting sensitivity is approximately 0.15 mJy (4 sigma) for radio flares and
around 60 uJy for continuous emission. In M82 two ULXs seem to have coincident
compact radio sources, which are probably supernova remnants. No continuous or
flaring radio emission has been detected from any other ULX. Thus, ULXs do not
generally emit steady-state radio emission above radio powers of 1.5 10^17
W/Hz. The non-detections of the continuous emission are consistent with beamed
or unbeamed radio emission from accreting black holes of <= 10^3 Msol based on
the radio/X-ray correlation. Other published radio detections (M82, NGC 5408)
are also discussed in this context. Both detections are significantly above our
detection limit. If ULXs have flaring radio emission above 4 10^17 W/Hz we can
give an upper limit on the duty circle of the flares of 6%. This upper limit is
in agreement with the observed number of flares in Galactic radio transients.
Additionally we present a yet unreported radio double structure in the nearby
low-luminosity AGN NGC 4736.
