Conditions on weights and are given for the -th order Hardy inequality to hold for two special classes of functions satisfying and boundary conditions, respectively. The conditions are sufficient and partially also necessary. For one class, a hypothesis is formulated describing necessary and sufficient conditions on and .
Cite this article
Alois Kufner, C.G. Simader, Hardy Inequalities for Overdetermined Classes of Functions. Z. Anal. Anwend. 16 (1997), no. 2, pp. 387–403DOI 10.4171/ZAA/769