Maximal function and generalized fractional integral operators on the weighted Orlicz-Lorentz-Morrey spaces
Year: 2025
Type: article
Abstract: We define the weighted Orlicz-Lorentz-Morrey and weak weighted Orlicz-Lorentz-Morrey spaces to generalize the Orlicz spaces, the weighted Lorentz spaces, the Orlicz-Lorentz spaces, and the Orlicz-Morrey spaces. Furthermore, necessary and sufficient conditions for the boundedness of the Hardy-Littlewood maximal operator, generalized fractional integral, and maximal operators on the weighted Orlicz-Lorentz-Morrey and weak Orlicz-Lorentz-Morrey spaces are given, based on the exploration of properties of Young functions, B p {B}_{p} weights, and B p , ∞ {B}_{p,\infty } weights. Specifying the weights and the Young functions, we recover the existing results and we obtain new results in the new and old settings.
Source: Open Mathematics
Author: Hongliang Li
Institution: Zhejiang International Studies University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,187
OpenAlex ID: W4412960724