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arXiv · 2503.18139

The union problem for domains with partial pseudoconvex boundaries

Jinjin Hu·Xujun Zhang
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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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Jinjin Hu, Xujun Zhang. 2025-03-23. The union problem for domains with partial pseudoconvex boundaries. https://arxiv.org/abs/2503.18139

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