We report on a study of interaction effects in the tunneling density o
f states of a disordered two-dimensional electron gas in the strong ma
gnetic field limit where only the lowest Landau level is occupied. Int
eractions in the presence of disorder are accounted for by performing
finite-size self-consistent Hartree-Fock calculations. We find evidenc
e for the formation of a pseudogap with a tunneling density of states
which vanishes at the Fermi energy.