  Let $\Omega$ be a bounded pseudoconvex domain in $\mathbb{C}^n$ with
Lipschitz boundary and $\phi$ be a continuous function on $\overline{\Omega}$.
We show that the Toeplitz operator $T_{\phi}$ with symbol $\phi$ is compact on
the weighted Bergman space if and only if $\phi$ vanishes on the boundary of
$\Omega$. We also show that compactness of the Toeplitz operator
$T^{p,q}_{\phi}$ on $\overline{\partial}$-closed $(p,q)$-forms for $0\leq p\leq
n$ and $q\geq 1$ is equivalent to $\phi=0$ on $\Omega$.

Complex Variables;Functional Analysis