  We prove boundary regularity and a compactness result for parabolic nonlocal
equations of the form $u_t-Iu=f$, where the operator $I$ is not necessarily
translation invariant. As a consequence of this and the regularity results for
translation invariant case, we obtain $C^{1,\alpha}$ interior estimates in
space for non translation invariant operators under some hypothesis on the time
regularity of the boundary data.
