TITLE:
Fractional Operators with Homogeneous Kernels in Two Weighted Herz Spaces with Variable Exponents
AUTHORS:
Yanqi Yang, Yaqi Zhang
KEYWORDS:
Fractional Integral, Muckenhoupt Weight, Herz Space, Variable Exponent
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.14 No.4,
April
16,
2026
ABSTRACT: By using the function decomposition of the two weighted Herz spaces with variable exponents and hierarchical estimation methods, as well as the boundedness of the fractional operators with homogeneous kernels on the Lebesgue spaces with variable exponent. The boundedness of these operators on the two weighted Herz spaces with variable exponents is obtained.