Remote Access Conformal Geometry and Dynamics
Green Open Access

Conformal Geometry and Dynamics

ISSN 1088-4173



A note to “Mappings of finite distortion: formation of cusps II”

Authors: Pekka Koskela and Juhani Takkinen
Journal: Conform. Geom. Dyn. 14 (2010), 184-189
MSC (2010): Primary 30C62, 30C65
Published electronically: July 15, 2010
MathSciNet review: 2670509
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Conformal Geometry and Dynamics of the American Mathematical Society with MSC (2010): 30C62, 30C65

Retrieve articles in all journals with MSC (2010): 30C62, 30C65

Additional 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

Juhani Takkinen
Affiliation: Linnantie 8 C 21, 40800 Vaajakoski, Finland

Keywords: Cusp, homeomorphism, mapping of finite distortion
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
Article copyright: © Copyright 2010 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.