Volume 21, Issue 4 Ahmed A. Abdelhakim Limiting case Hardy inequalities on the sphere Downloads Abstract PDF Full article PDF DOI { copied = true; setTimeout(() => copied = false, 2000) })" :aria-label="copied ? 'DOI copied' : 'Copy DOI'" :title="copied ? 'Copied' : 'Copy DOI'" > Find all available articles from these authors Ahmed A. Abdelhakim Find more articles with the same keywords critical Hardy inequality sharp constant 2-sphere Sobolev spaces on manifolds Find more articles with the same subject classes 26D10 35A23 46E35