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Research Article
Vol. 32, Issue 2
Remarks on L p -CKN Interpolation Inequalities of Hardy and Rellich Types on the Sphere
We prove a new family of L p -Caffarelli-Kohn-Nirenberg (CKN) interpolation inequalities with sharp constants on the unit sphere of dimension greater than or equal to two. Consequently, several sharp Hardy type inequalities are obtained as special cases. Moreover, the same method is adopted to establish a new class of Hardy-Rellich type inequalitie...
