Tan, J. and Liu, Z. (2015) Some Boundedness of Homogeneous Fractional Integrals on Variable Exponent Function Spaces. ACTA Mathematics Science (Chinese Series), 58, 310-320.

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.