  The influence of Coulomb interaction on transport properties of spinless
electrons in small disordered two dimensional systems is studied within a tight
binding model. Spatial correlations, inverse participation ratio, and
multifractal spectrum of the zero temperature local tunneling amplitude as well
as the DC Kubo conductance are traced as function of the interaction strength
$U$. When $U$ is increased, all of the above quantities are shifted rather
smoothly towards localized behavior, indicating the absence of an interaction
driven insulator-metal transition.
