$L^p$ Estimates for the $\bar{\partial }$-Problem on Rational Hartogs Triangles

Tran Vu Khanh, Tu Nguyen

We investigate $L^p$ estimates for the $\bar{\partial }$-problem on rational Hartogs triangles ${\mathbb{H}}_{m/n}=\{(z_1,z_2)\in {\mathbb{C}}^2:|z_1{|}^m<|z_2{|}^n<1\}$. For $p…