  We show continuity properties for the pseudo-differential operator
$\operatorname{Op} (a)$ from $M(\omega _0\omega ,\mathscr B )$ to $M(\omega
,\mathscr B )$, for fixed $s,\sigma \ge 1$, $\omega ,\omega _0\in \mathscr P
_{s,\sigma}^0$ ($\omega ,\omega _0\in \mathscr P _{s,\sigma}$), $a\in \Gamma
^{\sigma,s}_{(\omega _0)}$ ($a\in \Gamma ^{\sigma,s;0}_{(\omega _0)}$) , and
$\mathscr B$ is an invariant Banach function space.
