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    Boundedness of Fractional Integral with Variable Kernel and Their Commutators on Variable Exponent Herz Spaces

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    Date
    2016-06
    Author
    Abdalmonem, Afif
    Abdalrhman, Omer
    Tao, Shuangping
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    Abstract
    In this paper, we study the boundedness of the fractional integral operator and their commutator on Herz spaecs with two variable exponents . By using the properties of the variable exponents Lebesgue spaces, the boundedness of the fractional integral operator and their commutator generated by Lipschitz function is obtained on those Herz spaces.
    URI
    http://dx.doi.org/10.4236/am.2016.710104
    http://hdl.handle.net/123456789/878
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    • Physics & Mathematics [63]

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