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LIMITING CASE HARDY INEQUALITIES ON THE SPHERE

Research Abstract

We give sharp limiting case Hardy inequalities on the sphere S2 and show that their
optimal constants are unattainable by any f ∈ H1
S2

{0}. The singularity of the problem is
related to the geodesic distance from a point on the sphere.

Research Authors
AHMED A. ABDELHAKIM
Research Department
Research Journal
Mathematical Inequalities & Applications
Research Pages
pp. 1079–1090
Research Publisher
NULL
Research Rank
1
Research Vol
Vol. 21 - No. 4
Research Website
NULL
Research Year
2018