  Let $\phi(z)=(\phi_1(z),...,\phi_n(z))$ be a holomorphic self-map of $B$ and
$\psi(z)$ a holomorphic function on $B$, where $B$ is the unit ball of ${\Bbbb
C}^n$. Let $0<p,s<+\infty, -n-1<q<+\infty, q+s>-1$ and $\alpha\geq 0,$ this
paper gives some necessary and sufficient conditions for the weighted
composition operator $\wco$ induced by $\phi$ and $\psi$ to be bounded and
compact between the space $\Fs$ and $\alpha$-{\sl Bloch} space $\beta^\alpha.$
