Hardy type inequalities in Lp with sharp remainders

Norisuke Ioku, Michinori Ishiwata, Tohru Ozawa

    Research output: Contribution to journal › Article

    5 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

    Fingerprint

    Hardy-type Inequality
    Error term
    Remainder
    Hardy Inequality
    Nonexistence
    Equality
    Standards
    Framework

    Keywords

    • Hardy’s inequalities
    • remainders

    ASJC Scopus subject areas

    • Analysis
    • Discrete Mathematics and Combinatorics
    • Applied Mathematics

    Cite this

    Hardy type inequalities in Lp with sharp remainders. / Ioku, Norisuke; Ishiwata, Michinori; Ozawa, Tohru.

    In: Journal of Inequalities and Applications, Vol. 2017, No. 1, 5, 01.12.2017.

    Research output: Contribution to journal › Article

    Ioku, N, Ishiwata, M & Ozawa, T 2017, 'Hardy type inequalities in Lp with sharp remainders', Journal of Inequalities and Applications, vol. 2017, no. 1, 5. https://doi.org/10.1186/s13660-016-1271-1
    Ioku N, Ishiwata M, Ozawa T. Hardy type inequalities in Lp with sharp remainders. Journal of Inequalities and Applications. 2017 Dec 1;2017(1). 5. https://doi.org/10.1186/s13660-016-1271-1
    Ioku, Norisuke ; Ishiwata, Michinori ; Ozawa, Tohru. / Hardy type inequalities in Lp with sharp remainders. In: Journal of Inequalities and Applications. 2017 ; Vol. 2017, No. 1.
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