Every planar set has a conformally removable subset with the same Hausdorff dimension
In this paper we show that given any compact set E \subset \hat {\mathbb{C}}, we can always find a conformally removable subset with the same Hausdorff dimension as E.
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| Veröffentlicht in: | Proceedings of the American Mathematical Society 2021-02, Vol.149 (2), p.787-791 |
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| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | In this paper we show that given any compact set E \subset \hat {\mathbb{C}}, we can always find a conformally removable subset with the same Hausdorff dimension as E. |
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| ISSN: | 0002-9939 1088-6826 |
| DOI: | 10.1090/proc/15243 |