  We present sensitive radio continuum imaging at 1.4 GHz and 4.9 GHz of seven
high redshift QSOs selected for having a 240 GHz continuum detection, which is
thought to be thermal dust emission. We detect radio continuum emission from
four of the sources: BRI 0952-0115, BR 1202-0725, LBQS 1230+1627B, and BRI
1335-0417. The radio source in BR 1202-0725 is resolved into two components,
coincident with the double mm and CO sources. We compare the results at 1.4 GHz
and 240 GHz to empirical and semi-analytic spectral models based on star
forming galaxies at low redshift. The radio-to-submm spectral energy
distribution for BR 1202-0725, LBQS 1230+1627B, and BRI 1335-0417 are
consistent with that expected for a massive starburst galaxy, with implied
massive star formation rates of order 1000 solar masses per year (without
correcting for possible amplification by gravitational lensing). The
radio-to-submm spectral energy distribution for BRI 0952-0115 suggests a
low-luminosity radio jet source driven by the AGN.
