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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.
| 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 |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/1598 |
| 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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