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The union problem for domains with partial pseudoconvex boundaries (2503.18139v2)
Published 23 Mar 2025 in math.CV
Abstract: We show that a smooth bounded domain in $\mathbb{C}n$ 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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