On removable singularities of harmonic functions on a stratified set

2024

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DOI 10.31857/s2686954324040015
Data confidence 70 medium
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Abstract

We consider sets removable for bounded harmonic functions on a stratified set with flat interior strata. We establish 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.