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.;
2012-01-01
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.File in questo prodotto:
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