Controlled diffeomorphic extension of homeomorphisms

Koskela, P; Wang, Z; Xu, HQ

Koskela, P (reprint author), Univ Jyvaskyla, Dept Math & Stat, POB 35, FI-40014 Jyvaskyla, Finland.

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2018; 177 (): 586

Abstract

Let Omega be an internal chord-arc Jordan domain and phi : S -> partial derivative Omega be a homeomorphism. We show that f has finite dyadic energy if and only if phi has a diffeomorphic extension h : D -> Omega which has finite energy. (C) 2018 Elsevier Ltd. All rights reserved.

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