  In this paper, we first introduce some new kinds of weighted amalgam spaces.
Then we discuss the strong type and weak type estimates for a class of
Calder\'on--Zygmund type operators $T_\theta$ in these new weighted spaces.
Furthermore, the strong type estimate and endpoint estimate of linear
commutators $[b,T_{\theta}]$ formed by $b$ and $T_{\theta}$ are established.
Also we study related problems about two-weight, weak type inequalities for
$T_{\theta}$ and $[b,T_{\theta}]$ in the weighted amalgam spaces and give some
results.
