Shows preservation of partial pseudoconvexity in smooth bounded domains, suggesting new mathematical properties of these spaces.
We show that a smooth bounded domain in [Formula: see text] 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 in [Formula: see text].
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Hu et al. (2026) studied this question.
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