TITLE:
Some Estimates for Commutators of θ-Type Calderón-Zygmund Operator in Variable Exponent Lebesgue Spaces
AUTHORS:
Yitao Gu, Yanqi Yang
KEYWORDS:
θ-Type Calderón-Zygmund Operator, Commutator, Lebesgue Space with Variable Exponent
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.13 No.10,
October
28,
2025
ABSTRACT: In this paper, by applying the extension of Rubio de Francia’s extrapolation theorem in Lebesgue spaces with variable exponent, the boundedness of the θ-type Calderón-Zygmund operator
T
θ
is bounded in variable exponent Lebesgue spaces. In addition, the commutators generated by
T
θ
and Besov, BMO and Lipschitz functions are respectively obtained in
L
p(
⋅
)
(
ℝ
n
)
.