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Afif, A., Omer, A. and Tao, S. (2016) The Boundedness of Fractional Integral with Variable Kernel on Variable Exponent Herz-Morrey Spaces. Jouranl of Applied Mathematics and Physics, 4, 187-195.

has been cited by the following article:

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

  AUTHORS: Afif Abdalmonem, Omer Abdalrhman, Shuangping Tao

  KEYWORDS: Fractional Integral, Variable Kernel, Commutator, Variable Exponent, Lipschitz Space, Herz Spaces

  JOURNAL NAME: Applied Mathematics, Vol.7 No.10, June 29, 2016

  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.