Higher Order Fractional Leibniz Rule

    研究成果: Article

    4 引用 (Scopus)

    抄録

    The fractional Leibniz rule is generalized by the Coifman–Meyer estimate. It is shown that the arbitrary redistribution of fractional derivatives for higher order with the corresponding correction terms.

    元の言語English
    ページ(範囲)1-16
    ページ数16
    ジャーナルJournal of Fourier Analysis and Applications
    DOI
    出版物ステータスAccepted/In press - 2017 4 3

    Fingerprint

    Leibniz' rule
    Redistribution
    Fractional Derivative
    Fractional
    Higher Order
    Derivatives
    Arbitrary
    Term
    Estimate

    ASJC Scopus subject areas

    • Analysis
    • Mathematics(all)
    • Applied Mathematics

    これを引用

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    title = "Higher Order Fractional Leibniz Rule",
    abstract = "The fractional Leibniz rule is generalized by the Coifman–Meyer estimate. It is shown that the arbitrary redistribution of fractional derivatives for higher order with the corresponding correction terms.",
    keywords = "Fractional derivative, Kato-Ponce inequality, Leibniz rule",
    author = "Kazumasa Fujiwara and Gueorguiev, {Vladimir Simeonov} and Tohru Ozawa",
    year = "2017",
    month = "4",
    day = "3",
    doi = "10.1007/s00041-017-9541-y",
    language = "English",
    pages = "1--16",
    journal = "Journal of Fourier Analysis and Applications",
    issn = "1069-5869",
    publisher = "Birkhause Boston",

    }

    TY - JOUR

    T1 - Higher Order Fractional Leibniz Rule

    AU - Fujiwara, Kazumasa

    AU - Gueorguiev, Vladimir Simeonov

    AU - Ozawa, Tohru

    PY - 2017/4/3

    Y1 - 2017/4/3

    N2 - The fractional Leibniz rule is generalized by the Coifman–Meyer estimate. It is shown that the arbitrary redistribution of fractional derivatives for higher order with the corresponding correction terms.

    AB - The fractional Leibniz rule is generalized by the Coifman–Meyer estimate. It is shown that the arbitrary redistribution of fractional derivatives for higher order with the corresponding correction terms.

    KW - Fractional derivative

    KW - Kato-Ponce inequality

    KW - Leibniz rule

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    U2 - 10.1007/s00041-017-9541-y

    DO - 10.1007/s00041-017-9541-y

    M3 - Article

    AN - SCOPUS:85017024468

    SP - 1

    EP - 16

    JO - Journal of Fourier Analysis and Applications

    JF - Journal of Fourier Analysis and Applications

    SN - 1069-5869

    ER -