On Removable Singularities of Harmonic Functions on a Stratified Set

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发表日期：

2024年8月1日

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N. S. Dairbekov,
O. M. Penkin,
D. V. Savasteev

摘要

Abstract

We consider sets removable for bounded harmonic functions on a stratified set with flat interior strata. It is proved that relatively closed sets of finite Hausdorff \((n - 2)\) -measure are removable for bounded harmonic functions on an n-dimensional stratified set satisfying the strong sturdiness condition.