Hardy type inequalities in Lp with sharp remainders

Norisuke Ioku, Michinori Ishiwata, Tohru Ozawa

    Research output: Contribution to journal › Article

    6 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.
    @article{9cd37bbe49cc4db9a8241a5dae114a00,
    title = "Hardy type inequalities in Lp with sharp remainders",
    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.",
    keywords = "Hardy’s inequalities, remainders",
    author = "Norisuke Ioku and Michinori Ishiwata and Tohru Ozawa",
    year = "2017",
    month = "12",
    day = "1",
    doi = "10.1186/s13660-016-1271-1",
    language = "English",
    volume = "2017",
    journal = "Journal of Inequalities and Applications",
    issn = "1025-5834",
    publisher = "Springer Publishing Company",
    number = "1",

    }

    TY - JOUR

    T1 - Hardy type inequalities in Lp with sharp remainders

    AU - Ioku, Norisuke

    AU - Ishiwata, Michinori

    AU - Ozawa, Tohru

    PY - 2017/12/1

    Y1 - 2017/12/1

    N2 - 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.

    AB - 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.

    KW - Hardy’s inequalities

    KW - remainders

    UR - http://www.scopus.com/inward/record.url?scp=85008336784&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=85008336784&partnerID=8YFLogxK

    U2 - 10.1186/s13660-016-1271-1

    DO - 10.1186/s13660-016-1271-1

    M3 - Article

    AN - SCOPUS:85008336784

    VL - 2017

    JO - Journal of Inequalities and Applications

    JF - Journal of Inequalities and Applications

    SN - 1025-5834

    IS - 1

    M1 - 5

    ER -

    Access to Document