Publications
Article · Доклады Российской академии наук Математика информатика процессы управления · November 10, 2024
On removable singularities of harmonic functions on a stratified set
N. S. Dairbekov, O. M. Penkin, Денис Владимирович Савастеев
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.
Advanced Harmonic Analysis ResearchGeometric Analysis and Curvature FlowsMathematical and Theoretical Analysisremovable singularitiesbounded harmonic functionsstratified sets
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