Ask a Question

Prefer a chat interface with context about you and your work?

<i>q</i>‐pseudoconvex and <i>q</i>‐holomorphically convex domains

<i>q</i>‐pseudoconvex and <i>q</i>‐holomorphically convex domains

Abstract In this article we prove a global result in the spirit of Basener's theorem regarding the relation between q ‐pseudoconvexity and q ‐holomorphic convexity: we prove that any open subset with smooth boundary, strictly q ‐pseudoconvex, is ‐holomorphically convex; moreover, assuming that Ω verifies an additional assumption, we prove …