Mathematical Inequalities & Applications · Volume 21, Issue 4 Limiting case Hardy inequalities on the sphere 21-73 Pages 1079-1090 DOI 10.7153/mia-2018-21-73 Downloads Short PDF Full PDF PNG Authors Ahmed A. Abdelhakim Keywords critical Hardy inequality sharp constant 2-sphere Sobolev spaces on manifolds Subject classes 26D10 35A23 46E35