6533b828fe1ef96bd128850c

RESEARCH PRODUCT

Quasisymmetric Koebe uniformization with weak metric doubling measures

Martti RasimusKai Rajala

subject

Pure mathematicsMathematics - Complex VariablesMathematics::Complex VariablesGeneral MathematicsCharacterization (mathematics)metriset avaruudetDomain (mathematical analysis)funktioteoriaMetric spaceMetric (mathematics)FOS: MathematicsMathematics::Metric GeometrymittateoriaComplex Variables (math.CV)Uniformization (set theory)Mathematics

description

We give a characterization of metric spaces quasisymmetrically equivalent to a finitely connected circle domain. This result generalizes the uniformization of Ahlfors 2-regular spaces by Merenkov and Wildrick. peerReviewed

yearjournalcountryeditionlanguage
2020-05-04Illinois Journal of Mathematics
https://doi.org/10.1215/00192082-9501456