Higher Order Fractional Leibniz Rule

Kazumasa Fujiwara; Vladimir Georgiev; Tohru Ozawa

doi:10.1007/s00041-017-9541-y

Higher Order Fractional Leibniz Rule

Kazumasa Fujiwara^*, Vladimir Georgiev, Tohru Ozawa

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

18 Citations (Scopus)

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.

Original language	English
Pages (from-to)	650-665
Number of pages	16
Journal	Journal of Fourier Analysis and Applications
Volume	24
Issue number	3
DOIs	https://doi.org/10.1007/s00041-017-9541-y
Publication status	Published - 2018 Jun 1

Keywords

Fractional derivative
Kato-Ponce inequality
Leibniz rule

ASJC Scopus subject areas

Analysis
Mathematics(all)
Applied Mathematics

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10.1007/s00041-017-9541-y

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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 Vladimir Georgiev and Tohru Ozawa",

note = "Publisher Copyright: {\textcopyright} 2017, Springer Science+Business Media New York.",

year = "2018",

month = jun,

day = "1",

doi = "10.1007/s00041-017-9541-y",

language = "English",

volume = "24",

pages = "650--665",

journal = "Journal of Fourier Analysis and Applications",

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TY - JOUR

T1 - Higher Order Fractional Leibniz Rule

AU - Fujiwara, Kazumasa

AU - Georgiev, Vladimir

AU - Ozawa, Tohru

PY - 2018/6/1

Y1 - 2018/6/1

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

SN - 1069-5869

VL - 24

SP - 650

EP - 665

JO - Journal of Fourier Analysis and Applications

JF - Journal of Fourier Analysis and Applications

IS - 3

ER -

Higher Order Fractional Leibniz Rule

Abstract

Keywords

ASJC Scopus subject areas

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