Two-Weighted Estimate for Generalized Fractional Integral and Its Commutator on Generalized Fractional Morrey Spaces
Year: 2023
Author: Guanghui Lu, Shuangping Tao
Journal of Mathematical Study, Vol. 56 (2023), Iss. 4 : pp. 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 $p∈[1, \frac{n}{η}).$
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v56n4.23.03
Journal of Mathematical Study, Vol. 56 (2023), Iss. 4 : pp. 345–356
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Generalized fractional integral commutator space BMO$(\mathbb{R}^n)$ two-weight generalized fractional Morrey space.