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Search: authors:"Norisuke Ioku"

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Hardy type inequalities in L p with sharp remainders

Sharp remainder terms are explicitly given on the standard Hardy inequalities in L p ( R n ) with 1 < p < n . Those remainder terms provide a direct and exact understanding of Hardy type inequalities in the framework of equalities as well as of the nonexistence of nontrivial extremals. MSC: 26D10, 26D15, 46E35.