Title: Best remainder norms in Sobolev-Hardy inequalities

Authors: Andrea Cianchi and Adele Ferone

Issue: Volume 58 (2009), Issue 3, 1051-1096

Abstract: We exhibit the optimal norm for a remainder term in the sharp Sobolev inequality involving a Lorentz norm, and in the equivalent classical Hardy inequality. Limiting cases of the relevant inequalities are also considered.