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

Regularity for solutions of non local parabolic equations II