Sharp subcritical and critical lp$l^{p}$ hardy inequalities on the sphere

HIGHLIGHTS

• who: Ahmed A. Abdelhakim from the Department of Mathematics, University, Saudi Arabia have published the research: Sharp subcritical and critical Lp$L^{p}$ Hardy inequalities on the sphere, in the Journal: (JOURNAL)
• what: In the next section, the authors show some interesting properties of the geodesic distance on the sphere that carry on to all dimensions. The authors demonstrate that |∇Sn-1 d|Sn-1=1 and that Sn-1 d=(n - 2) cos d/ sin d, in any dimension n ≥ 2. The authors show that the functionals Tp, p following L inequalities of Hardy . . .
  

   

  

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