  Let $X$ be a cohomologically $(n-1)$-complete complex manifold of dimension
$n\geq 2$. We prove a vanishing result for the Bott-Chern cohomology group of
type $(1, 1)$ with compact support in $X$, which combined with the well-known
technique of Ehrenpreis implies a Hartogs type extension theorem for
pluriharmonic functions on $X$.
