Weighted Lp estimates for the [delta]-equation on convex domains of finite type

We prove non-isotropic $L^p$ $(1 \le p \le \infty)$ estimates with weights for solutions of the Cauchy-Riemann equation on bounded convex domains of finite type in $\mathbb{C}^n$ using the integral kernel method. We also give an example which guarantees the optimum of the estimates.