Ahlfors-david Regularity of Intrinsically Quasi-symmetric Sections in Metric Spaces
We introduce a definition of intrinsically quasi-symmetric sections in metric spaces and we prove the Ahlfors-David regularity for this class of sections. We follow a recent result by Le Donne and the author where we generalize the notion of intrinsically Lipschitz graphs in the sense of Franchi, Serapioni and Serra Cassano. We do this by focusing our attention on the graph property instead of the map one.
Authors
- Daniela Di Donato (ORCID: https://orcid.org/0000-0002-8425-2082)
Institutions
- University of Pavia (IT)
Publication Details
- Journal
- WSEAS TRANSACTIONS ON MATHEMATICS
- Published
- 2024-12-31
- DOI
- https://doi.org/10.37394/23206.2024.23.102
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 0.00