@Article{JMS-56-4, author = {Lu, Guanghui and Tao, Shuangping}, title = {Two-Weighted Estimate for Generalized Fractional Integral and Its Commutator on Generalized Fractional Morrey Spaces}, journal = {Journal of Mathematical Study}, year = {2023}, volume = {56}, number = {4}, pages = {345--356}, abstract = {

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 $p∈[1, \frac{n}{η}).$

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v56n4.23.03}, url = {https://global-sci.com/article/87631/two-weighted-estimate-for-generalized-fractional-integral-and-its-commutator-on-generalized-fractional-morrey-spaces} }