  Given a holomorphic family of pairs $\{(X_t,E_t)\}$, where each $E_t$ is
holomorphic vector bundle over compact complex manifold $X_t$. For small enough
$t$, we get a correspondence between the Dolbeault complex of $E_t$-valued
$(p,q)$-forms on $X_t$ and the one of $E_0$-valued $(p,q)$-forms on $X_0$.
