Bergman-Toeplitz operators on fat Hartogs triangles

In this paper, we obtain some $L^p$ mapping properties of the Bergman-Toeplitz operator $$f⟶T_{K^{-\alpha }}\left(f\right):=\underset{\mathrm{\Omega }}{\int }{K}_{\mathrm{\Omega }}(\cdot ,w)K^{-\alpha }(w,w)f\left(w\right)dV(w)$$ 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$k\in \mathbb Z^+$.