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.