
In this paper we obtain some sharp Hardy inequalities with weight functions that may admit singularities on the unit sphere. In order to prove the main results of the paper we use some recent sharp inequalities for the lowest eigenvalue of Schrödinger operators on the unit sphere obtaind in the paper [DEL].
10 pages
Laplace-Beltrami operators, Secondary, Science & Technology, General Mathematics, Hardy inequalities, Primary: 35P15, Secondary: 81Q10, 101002 Analysis, OPERATOR, 0101 Pure Mathematics, Mathematics - Analysis of PDEs, Physical Sciences, FOS: Mathematics, Mathematics, Primary, Analysis of PDEs (math.AP)
Laplace-Beltrami operators, Secondary, Science & Technology, General Mathematics, Hardy inequalities, Primary: 35P15, Secondary: 81Q10, 101002 Analysis, OPERATOR, 0101 Pure Mathematics, Mathematics - Analysis of PDEs, Physical Sciences, FOS: Mathematics, Mathematics, Primary, Analysis of PDEs (math.AP)
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