  We report on deep imaging in 2 filters with the PC2 camera of HST, of five
QSOs at redshift ~2, with a range of optical and radio luminosity. The
observations included a suite of PSF observations which were used to construct
new PSF models, described elsewhere by Dumont et al. The new PSF models were
used to remove the QSO nucleus from the images. We find that the host galaxies
have resolved flux of order 10% of the QSO nuclei, and are generally luminous
and blue, indicating active star-formation. While most have clearly irregular
morphologies, the bulk of the flux can be modelled approximately by an r**1/4
law. However, all host galaxies also have an additional approximately
exponential luminosity profile beyond a radius about 0.8 arcsec, as also seen
in ground-based data with larger telescopes. The QSOs all have a number of
nearby faint blue companions which may be young galaxies at the QSO redshift.
We discuss implications for evolution of the host galaxies, their spheroidal
populations, and central black holes.
