NUI Maynooth

NUI Maynooth ePrints and eTheses Archive

NUIM Library

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

[img]PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
124Kb

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.

Keywords:Lipschitz function; Hölder functions; Annular decay property; Hardy, Littlewood, and Wiener; Coifman and Weiss; Theory of harmonic analysis.
Subjects:Science & Engineering > Mathematics
ID Code:1619
Deposited By:Prof. Stephen Buckley
Deposited On:03 Nov 2009 09:36
Journal or Publication Title:Annales Academiæ Scientiarum Fennicæ Mathematica
Publisher:Suomalainen Tiedeakatemia
Refereed:Yes
URL:http://www.acadsci.fi/mathematica/

Repository Staff Only: item control page