Composition of bi-Sobolev homeomorphisms
Published online by Cambridge University Press: 30 January 2012
Abstract
We give sharp conditions under which the composition of two homeomorphisms of finite distortion is of finite distortion and has integrable distortion. As an application, we obtain a generalization of the classical uniqueness theorem of homeomorphic solution to the measurable Riemann mapping problem.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 142 , Issue 1 , February 2012 , pp. 61 - 80
- Copyright
- Copyright © Royal Society of Edinburgh 2012
- 3
- Cited by