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Composition of bi-Sobolev homeomorphisms

  • Luigi Greco (a1), Carlo Sbordone (a2) and Roberta Schiattarella (a3)

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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* Present address: Dipartimento di Matematica e Applicazioni ‘R. Caccioppoli’, Università di Napoli ‘Frederico II’, Via Cintia, 80126 Napoli, Italy.

Composition of bi-Sobolev homeomorphisms

  • Luigi Greco (a1), Carlo Sbordone (a2) and Roberta Schiattarella (a3)

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