  We prove local hypoellipticity of the complex Laplacian $\Box$ and of the
Kohn Laplacian $\Box_b$ in a pseudoconvex boundary when, for a system of
cut-off $\eta$, the gradient $\partial_b\eta$ and the Levi form
$\partial_b\bar\partial_b\eta^2$ are subelliptic multipliers in the sense of
Kohn.
