  In this paper, the authors first consider the bidirectional estimates of
several typical integrals. As some applications of these integral estimates,
the authors investigate the pointwise multipliers from the normal weight
general function space $F(p,\mu,s)$ to the normal weight Bloch type space
$\mathcal{B_{\nu}}(B_{n})$ on the unit ball $B_{n}$ of $\mathbb{C}^{n}$, where
$\mu$ and $\nu$ are two normal functions on $[0,1)$. For the special normal
function
$\displaystyle{\mu(r)=(1-r^{2})^{\alpha}\log^{\beta}\frac{e}{1-r^{2}}}$
($\alpha>0$, $-\infty<\beta<\infty$), the authors give the necessary and
sufficient conditions of pointwise multipliers from $F(p,\mu,s)$ to
$\mathcal{B_{\nu}}(B_{n})$ for all cases.
