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    Quasiconformal images of Hölder domains

    Buckley, Stephen M. (2004) Quasiconformal images of Hölder domains. Annales Academiæ Scientiarum Fennicæ Mathematica, 29. pp. 21-42. ISSN 1798-2383

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    We introduce and study the k-cap condition and use it to prove that the quasiconformal image of a Hölder domain is itself Hölder if and only if it supports a Trudinger inequality. We compare and contrast the k-cap condition with related slice-type conditions.

    Item Type: Article
    Keywords: Hölder domain; Trudinger inequality; K-cap condition; Quasiconformal images.
    Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
    Item ID: 1598
    Depositing User: Prof. Stephen Buckley
    Date Deposited: 20 Oct 2009 10:50
    Journal or Publication Title: Annales Academiæ Scientiarum Fennicæ Mathematica
    Publisher: Suomalainen Tiedeakatemia
    Refereed: Yes
    Use Licence: This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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