New Poincaré inequalities from old

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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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

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