Extension of planar Hölder homeomorphisms

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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

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Journal of the London Mathematical Society, Volume 110, issue 3

Abstract

Let (Formula presented.). We show that any (Formula presented.) -Hölder homeomorphism from the unit circle in the plane to the plane can be extended to an (Formula presented.) -Hölder homeomorphism from the whole unit disc.

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Publisher Copyright: © 2024 The Author(s). The publishing rights in this article are licensed to the London Mathematical Society under an exclusive licence.

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Hencl, S & Koski, A 2024, 'Extension of planar Hölder homeomorphisms', Journal of the London Mathematical Society, vol. 110, no. 3, e12970. https://doi.org/10.1112/jlms.12970