  We present VLT/ISAAC near-infrared imaging of the host galaxies of 15 low
luminosity quasars at 1 < z < 2. This work complements our studies to trace the
cosmological evolution of the host galaxies of high luminosity quasars. The
radio-loud (RLQ) and radio-quiet (RQQ) quasars have similar distribution of
redshift and luminosity, and together the high and low luminosity quasars cover
a large range of the quasar luminosity function. Both RLQ and RQQ hosts
resemble massive inactive ellipticals undergoing passive evolution. However,
RLQ hosts are systematically more luminous than RQQ hosts, as also found for
the high luminosity quasars. The difference in the host luminosity remains the
same from z = 2 to z = 0. For the entire set of quasars, we find a correlation
between the nuclear and the host luminosities, albeit with a large scatter. The
correlation is less apparent for the RQQs than for the RLQs.
