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

Tianlong Yu

Frontiers of Mathematics ›› : 1 -7.

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Frontiers of Mathematics ›› : 1 -7. DOI: 10.1007/s11464-025-0094-0
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On the Log-hyperconvexity Index of Pseudoconvex Hölder Domains in ℂn

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Abstract

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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Pseudoconvex / hyperconvex / plurisubharmonic / 32T27

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Tianlong Yu. On the Log-hyperconvexity Index of Pseudoconvex Hölder Domains in ℂn. Frontiers of Mathematics 1-7 DOI:10.1007/s11464-025-0094-0

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