  We compute the equivariant cohomology $H^*_{T_I}(\mathcal Z_K)$ of
moment-angle complexes $\mathcal Z_K$ with respect to the action of coordinate
subtori $T_I \subset T^m$. We give a criterion for the equivariant formality of
$\mathcal Z_K$ and obtain specifications for the cases of flag complexes and
graphs.
