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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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Abstract

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.

Keywords:Hölder domain; Trudinger inequality; K-cap condition; Quasiconformal images.
Subjects:Science & Engineering > Mathematics
ID Code:1598
Deposited By:Prof. Stephen Buckley
Deposited On:20 Oct 2009 11:50
Journal or Publication Title:Annales Academiæ Scientiarum Fennicæ Mathematica
Publisher:Suomalainen Tiedeakatemia
Refereed:Yes
URL:http://www.acadsci.fi/mathematica/

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