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<p>In this note we prove that every bounded pseudoconvex domain in ℂ<sup><i>n</i></sup> with Hölder boundary admits a positive log-hyperconvexity index. We also get a better estimate for the plurisubharmonic exhaustion function.</p>

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On the Log-hyperconvexity Index of Pseudoconvex Hölder Domains in ℂn

  • 期刊论文

  • 发表日期：

    2025年9月30日

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  • Tianlong Yu

摘要

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.