Buckley, S. M., & Koskela, P. (2004). Orlicz-Hardy inequalities. Illinois Journal of Mathematics, 48(3), 787-802. https://doi.org/10.1215/ijm/1258131053
Published inIllinois Journal of Mathematics
© 2004 University of Illinois.
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 Ln, this relationship is necessary and sufficient, thus extending results of Ancona, Lewis, and Wannebo.