| Let $m$ be an integer and $T$ be an $m$-linear Calder\'on-Zygmund operator, $u,\,v_1,...,\,v_m$ be weights. In this paper, the authors give some sufficient conditions on the weights $(u,\,v_k)$ with $1\leq k\leq m$, such that $T$ is bounded from $L^{p_1}(\rn,\,v_1)\times\cdots\times L^{p_m}(\rn,\,v_m)$ to $L^{p,\,\infty}(\rn,\,u)$. |
