This note proves that bounded pseudoconvex domains with Hölder boundaries have a positive log-hyperconvexity index, indicating important geometric properties.
In this note we prove that every bounded pseudoconvex domain in ℂn with Hölder boundary admits a positive log-hyperconvexity index. We also get a better estimate for the plurisubharmonic exhaustion function.
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Tianlong Yu (2025) studied this question.
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