Orlicz-Hardy inequalities

Stephen M. Buckley; Pekka Koskela

doi:10.1215/ijm/1258131053

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Home > Journals > Illinois J. Math. > Volume 48 > Issue 3 > Article

Fall 2004 Orlicz-Hardy inequalities

Stephen M. Buckley, Pekka Koskela

Illinois J. Math. 48(3): 787-802 (Fall 2004). DOI: 10.1215/ijm/1258131053

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Abstract

We relate Orlicz-Hardy inequalities on a bounded Euclidean domain to certain fatness conditions on the complement. In the case of certain log-scale distortions of $L^n$, this relationship is necessary and sufficient, thus extending results of Ancona, Lewis, and Wannebo.