Hardy type inequalities in Lp with sharp remainders

Norisuke Ioku, Michinori Ishiwata, Tohru Ozawa

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    7 Citations (Scopus)

    Abstract

    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
    Volume2017
    Issue number1
    DOIs
    Publication statusPublished - 2017 Dec 1

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    Keywords

    • Hardy’s inequalities
    • remainders

    ASJC Scopus subject areas

    • Analysis
    • Discrete Mathematics and Combinatorics
    • Applied Mathematics

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