$\mu hom$ and multi-microlocal operators

In this paper, we construct the multi-microlocalization functor $\mu ho{m}_{\chi }$ of homomorphisms, which is a counterpart of the functor $\mu hom$ studied by M.Kashiwara and P.Schapira. Furthermore, using the new functor, we also introduce several sheaves of multi-microlocal operators which act on multi-microlocalized objects such as a multi-microfunction.