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.

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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
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article

Ahlfors-david Regularity of Intrinsically Quasi-symmetric Sections in Metric Spaces

Daniela Di Donato
WSEAS TRANSACTIONS ON MATHEMATICS
Geometric Analysis and Curvature Flows
article

Ahlfors-david Regularity of Intrinsically Quasi-symmetric Sections in Metric Spaces

Daniela Di Donato
article en

Abstract

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.

WSEAS TRANSACTIONS ON MATHEMATICSVol. 23
University of Pavia (IT)
Openalex Percentile: Top 57%
Geometric Analysis and Curvature Flows
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Ahlfors-david Regularity of Intrinsically Quasi-symmetric Sections in Metric Spaces — Daniela Di Donato · WSEAS TRANSACTIONS ON MATHEMATICS (2024) | TGRS Research Map | TGRS