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Buckley, Stephen M. and Koskela, Pekka (1998) New Poincaré inequalities from old. Annales Academiæ Scientiarum Fennicæ Mathematica, 23. pp. 251-260. ISSN 1798-2383
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Abstract
We discuss a geometric method, which we refer to as Coning, for generating new Poincar´e type inequalities from old ones. In particular, we derive weighted Poincaré inequalities
for star-shaped domains and variant Trudinger inequalities for another class of domains.
| Item Type: | Article |
|---|---|
| Keywords: | Lipschitz function; Hölder functions; Annular decay property; Hardy, Littlewood, and Wiener; Coifman and Weiss; Theory of harmonic analysis. |
| Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: | 1619 |
| Depositing User: | Prof. Stephen Buckley |
| Date Deposited: | 03 Nov 2009 09:36 |
| Journal or Publication Title: | Annales Academiæ Scientiarum Fennicæ Mathematica |
| Publisher: | Suomalainen Tiedeakatemia |
| Refereed: | Yes |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/1619 |
| 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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