Mappings of finite distortion : gauge dimension of generalized quasi-circles
Abstract
We determine the correct dimension gauge for measuring generalized quasicircles (the images of a circle under so-called µ-homeomorphisms). We establish a sharp modulus of continuity estimate for the inverse of a homeomorphism with finite exponentially integrable distortion. We exhibit several illustrative examples.
Main Authors
Format
Articles
Research article
Published
2003
Series
Subjects
Publication in research information system
Publisher
University of Illinois Press
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-201903071767Käytä tätä linkitykseen.
Review status
Peer reviewed
ISSN
0019-2082
DOI
https://doi.org/10.1215/ijm/1258138102
Language
English
Published in
Illinois Journal of Mathematics
Citation
- Herron, D. A., & Koskela, P. (2003). Mappings of finite distortion : gauge dimension of generalized quasi-circles. Illinois Journal of Mathematics, 47(4), 1243-1259. https://doi.org/10.1215/ijm/1258138102
License
Copyright© 2003 University of Illinois