Revistes Catalanes amb Accés Obert (RACO)

Weighted $L^p$ estimates for the $\overline \partial$-equation on convex domains of finite type

H. Ahn

Resum


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.

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