On the behaviour of singular semigroups in intermediate and interpolation spaces and its applications to maximal regularity for degenerate integro-differential evolution equations

For these semigroups, which may have power type singuraties and whose generatorsare abstract jmultivalued linear operators, we characterize the behaviour with respect to a certain setof intermediate and interpolation spaces.The obtained results are then applied to provide maximal time regularity for the solutions to a wide classof degenerate integro-and non integro-differential evolution equations in Banach spaces.