  In this paper, we obtain some $L^{p}$ mapping properties of the
Bergman-Toeplitz operator \[ f\longrightarrow
T_{K^{-\alpha}}\left(f\right):=\intop_{\Omega}K_{\Omega}\left(\cdot,w\right)K^{-\alpha}\left(w,w\right)f\left(w\right)dV(w)
\] on fat Hartogs triangles $\Omega_{k}:=\left\{
\left(z_{1},z_{2}\right)\in\mathbb{C}^{2}:\left|z_{1}\right|^{k}<\left|z_{2}\right|<1\right\}
$, where $\alpha\in\mathbb{R}$ and $k\in \mathbb Z^+$.
