TITLE:
Mapping Properties for Fractional Integral Related to Schrödinger Operator on Generalized Fractional Mixed Morrey Spaces
AUTHORS:
Zhuanxia Cheng, Yanqi Yang
KEYWORDS:
Schrödinger Operator, Fractional Integral, Generalized Fractional Mixed Morrey Space, Commutator, Boundedness
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.14 No.1,
January
22,
2026
ABSTRACT: This paper establishes the boundedness of fractional integral operators associated with Schrödinger operators and their commutators with
BM
O
θ
(
ρ
)
functions on generalized fractional mixed Morrey spaces. This is achieved by employing function decomposition and stratification techniques in these spaces, while drawing on known boundedness results in the context of mixed Lebesgue spaces.