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Iterated Log-scale Orlicz-Hardy Inequalities

Buckley, S.M. and Hurri-Syrjänen, R. (2011) Iterated Log-scale Orlicz-Hardy Inequalities. (Preprint) Department of Mathematics, National University of Ireland Maynooth.

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Abstract

We relate Orlicz-Hardy inequalities on a Euclidean domain to fatness conditions on the complement. For certain iterated log-scale distortions of Ln, this relationship is necessary and sufficient, extending results of Buckley and Koskela, and others.

Keywords:Iterated Log-scale; Orlicz-Hardy; Inequalities;
Subjects:Science & Engineering > Mathematics
ID Code:2623
Deposited By:Prof. Stephen Buckley
Deposited On:15 Jul 2011 14:19
Publisher:(Preprint) Department of Mathematics, National University of Ireland Maynooth

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