C1,α-rectifiability in low codimension in Heisenberg groups

A natural higher-order notion of C1,α{C}^{1,\alpha }-rectifiability, 0<α≤10\lt \alpha \le 1, is introduced for subsets of the Heisenberg groups Hn{{\mathbb{H}}}^{n} in terms of covering a set almost everywhere with a countable union of (CH1,α,H)\left({{\bf{C}}}_{H}^{1,\alpha },{\mathbb{H}})-regul...

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Bibliographic Details
Main Authors: Idu Kennedy Obinna, Maiale Francesco Paolo
Format: Article
Language:English
Published: De Gruyter 2024-02-01
Series:Analysis and Geometry in Metric Spaces
Subjects:
Online Access:https://doi.org/10.1515/agms-2023-0105