A remark on semiglobal existence for \(\overline{\partial}\)
Let \(\Omega\) be a domain in \(\mathbb{C}^n\) with \(C^2\)-boundary. Then it is known that \(\Omega\) is pseudoconvex if (and only if) \(\Omega\) can be exhausted by a sequence of relatively compact pseudoconvex subdomains \(\Omega_i \Subset \Omega\). Hörmander gave a proof of this result with the so called \(\overline \partial\) technique (reference [6] in this paper). Here, the author provides a simpler proof of that result, by using the Hörmander technique. However, I have some trouble to follow his argument. Furthermore, the author lists 9 papers in the references; in fact actually, in the paper itself, only two were referred to.
semiglobal existence for \(\overline\partial\)
scientific article; zbMATH DE number 1089768