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}).
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
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.
Author Details
-
\Theta -type fractional Marcinkiewicz integral operators and their commutators on some spaces over RD-spaces
Lu, Guanghui
Tao, Wenwen
Journal of Pseudo-Differential Operators and Applications, Vol. 15 (2024), Iss. 4
https://doi.org/10.1007/s11868-024-00650-x [Citations: 0]