Controlled diffeomorphic extension of homeomorphisms. (December 2018)

• Record Type: Journal Article
• Authors: Koskela, Pekka; Wang, Zhuang; Xu, Haiqing
• Is Part Of: Nonlinear analysis. Volume 177(2018)Part B
• Page Start: 586
• Page End: 600
• Publication Date: 2018-12
• Subjects: Poisson extension -- Diffeomorphism -- Chord-arc curve; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2018.04.020
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: Let Ω be an internal chord-arc Jordan domain and φ : S → ∂ Ω be a homeomorphism. We show that φ has finite dyadic energy if and only if φ has a diffeomorphic extension h : D → Ω which has finite energy.