A note to “Mappings of finite distortion: formation of cusps II”
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- by Pekka Koskela and Juhani Takkinen
- Conform. Geom. Dyn. 14 (2010), 184-189
- DOI: https://doi.org/10.1090/S1088-4173-2010-00211-0
- Published electronically: July 15, 2010
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Abstract:
We consider planar homeomorphisms $f\colon \mathbb {R}^2\to \mathbb {R}^2$ that are of finite distortion and map the unit disk onto a specific cusp domain $\Omega _s$. We study the relation between the degree $s$ of the cusp and the integrability of the distortion function $K_f$ by sharpening a previous result where $K_f$ is assumed to be locally exponentially integrable.References
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Bibliographic Information
- Pekka Koskela
- Affiliation: Department of Mathematics and Statistics, University of Jyväskylä, P.O. Box 35, FI-40014 University of Jyväskylä, Finland
- MR Author ID: 289254
- Email: pekka.j.koskela@jyu.fi
- Juhani Takkinen
- Affiliation: Linnantie 8 C 21, 40800 Vaajakoski, Finland
- Email: juhani.takkinen@kolumbus.fi
- Received by editor(s): April 17, 2010
- Published electronically: July 15, 2010
- Additional Notes: The first author was partially supported by the Academy of Finland grants nos. 120927 and 131477
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Conform. Geom. Dyn. 14 (2010), 184-189
- MSC (2010): Primary 30C62, 30C65
- DOI: https://doi.org/10.1090/S1088-4173-2010-00211-0
- MathSciNet review: 2670509