Weak Capacity and Modulus Comparability in Ahlfors Regular Metric Spaces
Abstract: Let (Z, d, μ) be a compact, connected, Ahlfors Q-regular metric space with Q > 1. Using a hyperbolic filling of Z,we define the notions of the p-capacity between certain subsets of Z and of theweak covering p-capacity of path families Γ in Z.We show comparability results and quasisymmetric invariance.As an application of our methodswe deduce a result due to Tyson on the geometric quasiconformality of quasisymmetric maps between compact, connected Ahlfors Q-regular metric spaces.
- Standort
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Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
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Online-Ressource
- Sprache
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Englisch
- Erschienen in
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Weak Capacity and Modulus Comparability in Ahlfors Regular Metric Spaces ; volume:4 ; number:1 ; year:2016 ; extent:26
Analysis and geometry in metric spaces ; 4, Heft 1 (2016) (gesamt 26)
- Urheber
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Lindquist, Jeff
- DOI
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10.1515/agms-2016-0019
- URN
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urn:nbn:de:101:1-2024041116313568662060
- Rechteinformation
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
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14.08.2025, 10:51 MESZ
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Beteiligte
- Lindquist, Jeff
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