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LIMITING CASE HARDY INEQUALITIES ON THE SPHERE

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