Quasispheres and metric doubling measures
Abstract
Applying the Bonk-Kleiner characterization of Ahlfors
2-regular quasispheres, we show that a metric two-sphere X is a
quasisphere if and only if X is linearly locally connected and carries
a weak metric doubling measure, i.e., a measure that deforms
the metric on X without much shrinking.
Main Authors
Format
Articles
Research article
Published
2018
Series
Subjects
Publication in research information system
Publisher
American Mathematical Society
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-201810034315Käytä tätä linkitykseen.
Review status
Peer reviewed
ISSN
0002-9939
DOI
https://doi.org/10.1090/proc/13971
Language
English
Published in
Proceedings of the American Mathematical Society
Citation
- Lohvansuu, A., Rajala, K., & Rasimus, M. (2018). Quasispheres and metric doubling measures. Proceedings of the American Mathematical Society, 146(7), 2973-2984. https://doi.org/10.1090/proc/13971
License
Funder(s)
Academy of Finland
Funding program(s)
Akatemiahanke, SA
Academy Project, AoF
Additional information about funding
This research was supported by the Academy of Finland, project number 308659.
Copyright© 2018 American Mathematical Society