Hardy type inequalities in Lp with sharp remainders

Norisuke Ioku, Michinori Ishiwata, Tohru Ozawa

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)


Sharp remainder terms are explicitly given on the standard Hardy inequalities in Lp(Rn) 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.

Original languageEnglish
Article number5
JournalJournal of Inequalities and Applications
Issue number1
Publication statusPublished - 2017 Dec 1


  • Hardy’s inequalities
  • remainders


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