TITLE:
The Boundedness of Fractional Integral with Variable Kernel on Variable Exponent Herz-Morrey Spaces
AUTHORS:
Afif Abdalmonem, Omer Abdalrhman, Shuangping Tao
KEYWORDS:
Fractional Integral, Variable Kernel, Variable Exponent, Herz-Morrey Spaces
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.4 No.4,
April
28,
2016
ABSTRACT: In this paper, we study the boundedness of the fractional integral with variable kernel. Under some assumptions, we prove that such kind of operators is bounded from the variable exponent Herz-Morrey spaces to the variable exponent Herz-Morrey spaces.