A1 Journal article (refereed)
Controlled diffeomorphic extension of homeomorphisms (2018)

Koskela, P., Wang, Z., & Xu, H. (2018). Controlled diffeomorphic extension of homeomorphisms. Nonlinear Analysis : Theory, Methods and Applications, 177(Part B), 586-600. https://doi.org/10.1016/j.na.2018.04.020

JYU authors or editors

Koskela, Pekka
Wang, Zhuang

Publication details

All authors or editors: Koskela, Pekka; Wang, Zhuang; Xu, Haiqing

Journal or series: Nonlinear Analysis : Theory, Methods and Applications

ISSN: 0362-546X

eISSN: 1873-5215

Publication year: 2018

Volume: 177

Issue number: Part B

Pages range: 586-600

Publisher: Pergamon Press

Publication country: United Kingdom

Publication language: English

DOI: https://doi.org/10.1016/j.na.2018.04.020

Publication open access: Other way freely accessible online

Publication channel open access:

Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/62937

Web address where publication is available: https://arxiv.org/abs/1805.02906

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.

Keywords: complex analysis; topology

Free keywords: Poisson extension; diffeomorphism; chord-arc curve

Fields of science: