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

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