Daniela Di Donato, "Ahlfors-david Regularity of Intrinsically Quasi-symmetric Sections in Metric Spaces," WSEAS Transactions on Mathematics, vol. 23, pp. 992-997, 2024, DOI:10.37394/23206.2024.23.102
Daniela Di Donato. Ahlfors-david Regularity of Intrinsically Quasi-symmetric Sections in Metric Spaces.
WSEAS Transactions on Mathematics. 2024;23:992-997. 10.37394/23206.2024.23.102
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 23, 2024
Ahlfors-david Regularity of Intrinsically Quasi-symmetric Sections in Metric Spaces
Author:
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.
Keywords:
Quasi-symmetric sections, Ahlfors-David regularity, quotient maps, intrinsically Lipschitz
sections, quasi-conformal maps, metric spaces
Pages: 992-997 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 23, 2024, Art. #102 DOI: 10.37394/23206.2024.23.102
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