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.

Composition of bi-Sobolev homeomorphisms

Sbordone C.;
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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.12570/17770
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