Commutators of fractional integrals on Lebesgue and Herz spaces with variable exponent

Mitsuo Izuki

doi:10.1007/s12215-010-0034-y

Commutators of fractional integrals on Lebesgue and Herz spaces with variable exponent

Mitsuo Izuki

Graduate School of Education

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

27 Citations (Scopus)

Abstract

Our first aim in this paper is to prove boundedness of commutators with fractional integrals on Lebesgue spaces with variable exponent. We additionally obtain the boundedness on Herz spaces with variable exponent applying some properties of variable exponent and BMO norms.

Original language	English
Pages (from-to)	461-472
Number of pages	12
Journal	Rendiconti del Circolo Matematico di Palermo
Volume	59
Issue number	3
DOIs	https://doi.org/10.1007/s12215-010-0034-y
Publication status	Published - Dec 1 2010

Keywords

BMO
Commutator
Fractional integral
Herz space with variable exponent

ASJC Scopus subject areas

Mathematics(all)

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10.1007/s12215-010-0034-y

Cite this

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abstract = "Our first aim in this paper is to prove boundedness of commutators with fractional integrals on Lebesgue spaces with variable exponent. We additionally obtain the boundedness on Herz spaces with variable exponent applying some properties of variable exponent and BMO norms.",

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author = "Mitsuo Izuki",

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KW - Commutator

KW - Fractional integral

KW - Herz space with variable exponent

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Commutators of fractional integrals on Lebesgue and Herz spaces with variable exponent

Abstract

Keywords

ASJC Scopus subject areas

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