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Duality of Moduli and Quasiconformal Mappings in Metric Spaces

We prove a duality relation for the moduli of the family of curves connecting two sets and the family of surfaces separating the sets, in the setting of a complete metric space equipped with a doubling measure and supporting a Poincaré inequality. Then we apply this to show that quasiconformal mappi...

Ausführliche Beschreibung

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Bibliografische Detailangaben
Hauptverfasser: Jones Rebekah, Lahti Panu
Format: Artigo
Sprache:Inglês
Veröffentlicht: De Gruyter 2020-08-01
Schriftenreihe:Analysis and Geometry in Metric Spaces
Schlagworte:
Online-Zugang:https://doi.org/10.1515/agms-2020-0112
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