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Every planar set has a conformally removable subset with the same Hausdorff dimension
Proceedings of the American Mathematical Society ( IF 1 ) Pub Date : 2020-12-16 , DOI: 10.1090/proc/15243
Hindy Drillick

Abstract: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$.


中文翻译:

每个平面集合都有一个具有相同Hausdorff尺寸的保形可移动子集

摘要:在本文中,我们证明了在给定任何紧集的情况下,总能找到与Hausdorff维数相同的保形可移动子集。 $ E \ subset \ hat {\ mathbb {C}} $$ E $
更新日期:2021-01-11
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