Quasisymmetric Koebe uniformization with weak metric doubling measures
Abstract
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.
Main Authors
Format
Articles
Research article
Published
2021
Series
Subjects
Publication in research information system
Publisher
Duke University Press
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-202302031616Use this for linking
Review status
Peer reviewed
ISSN
0019-2082
DOI
https://doi.org/10.1215/00192082-9501456
Language
English
Published in
Illinois Journal of Mathematics
Citation
- Rajala, K., & Rasimus, M. (2021). Quasisymmetric Koebe uniformization with weak metric doubling measures. Illinois Journal of Mathematics, 65(4), 749-767. https://doi.org/10.1215/00192082-9501456
License
Funder(s)
Research Council of Finland
Funding program(s)
Academy Project, AoF
Akatemiahanke, SA
Additional information about funding
The authors were supported by the Academy of Finland, project number 308659
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