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In this paper it is shown that the Hartogs triangle $\mathbf T$ in $\mathbfC^2$ is a uniform domain. This implies that the Hartogs triangle is a Sobolevextension domain. Furthermore, the weak and strong maximal extensions of theCauchy-Riemann operator agree on the Hartogs triangle. These results havenumerous applications. Among other things, they are used to study the Dolbeaultcohomology groups with Sobolev coefficients on the complement of $\mathbf T$.

Extendability and the $\overline \partial$ Operator on the Hartogs Triangle