TITLE:
Fractional Integral Operators on Generalized Campanato Spaces with Variable Exponents
AUTHORS:
Shujuan Niu, Shuangping Tao
KEYWORDS:
Generalized, Campanato Space, Fractional Integral, Commutator
JOURNAL NAME:
Applied Mathematics,
Vol.16 No.11,
November
24,
2025
ABSTRACT: This paper offers a novel portrayal of the generalized Campanato space with variable exponents. By introducing the position-dependent weight function
ω(
x,r
)
, the generalized variable exponent Campanato space significantly increases its flexibility and power to characterize complex phenomena. The boundedness of the fractional integrals and their commutators is obtained on the generalized Campanato space with variable exponents.