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    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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    Official URL: http://www.acadsci.fi/mathematica/Vol23/buckley.ht...


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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
    URI:

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