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 -

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 $p∈[1, \frac{n}{η}).$