The union problem for domains with partial pseudoconvex boundaries

2025/03/23 by Jinjin Hu, Xujun Zhang, Hu, Jinjin +1
Mathematics · #32C55 #32F17 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2503.18139

Abstract

We show that a smooth bounded domain in ℂⁿ admitting partial pseudoconvex exhaustion remains partial pseudoconvex. The main ingredient of the proof is based on a new characterization of hyper-q-convex domains. Furthermore, we get several convex analogies.

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