TY - JOUR
T1 - Two-Weighted Estimate for Generalized Fractional Integral and Its Commutator on Generalized Fractional Morrey Spaces
AU - Lu , Guanghui
AU - Tao , Shuangping
JO - Journal of Mathematical Study
VL - 4
SP - 345
EP - 356
PY - 2023
DA - 2023/12
SN - 56
DO - http://doi.org/10.4208/jms.v56n4.23.03
UR - https://global-sci.org/intro/article_detail/jms/22254.html
KW - Generalized fractional integral, commutator, space BMO$(\mathbb{R}^n)$, two-weight, generalized fractional Morrey space.
AB - <p style="text-align: justify;">The aim of this paper is to establish the mapping properties of generalized
fractional integral $I_ρ$ and its commutator $[b,I_ρ]$ formed by $b∈{\rm BMO}(\mathbb{R}^n)$ and the $I_ρ$ on
generalized fractional weighted Morrey spaces $\mathcal{L}^{p,η,φ}_ω (\mathbb{R}^n),$ where $φ$ is a positive and
non-decreasing function defined on $(0,∞),$ $η∈(0,n)$ and $p∈[1, \frac{n}{η}).$</p>