Nuclear effects in [Formula Presented] at small x in deep inelastic scattering on [Formula Presented] and [Formula Presented]

We suggest using polarized nuclear targets of [Formula Presented] and [Formula Presented] to study nuclear effects in the spin-dependent structure functions [Formula Presented] These effects are expected to be enhanced by a factor of 2 as compared to the unpolarized targets. We predict a significant x dependence at [Formula Presented] of [Formula Presented] due to nuclear shadowing and nuclear enhancement. The effect of nuclear shadowing at [Formula Presented] is of an order of 16% for [Formula Presented] and 10% for [Formula Presented] By imposing the requirement that the Bjorken sum rule is satisfied we model the effect of enhancement. We find the effect of enhancement at [Formula Presented] to be of an order of [Formula Presented] for [Formula Presented] and [Formula Presented] for [Formula Presented] if enhancement occupies the region [Formula Presented] We predict a 2% effect in the difference of the scattering cross sections of deep inelastic scattering of an unpolarized projectile off [Formula Presented] with [Formula Presented] and [Formula Presented] We also show explicitly that the many-nucleon description of deep inelastic scattering off [Formula Presented] becomes invalid in the enhancement region [Formula Presented].