Abstract Weighted Morrey Spaces and Applications
Year: 2026
Type: conference-abstract
Abstract: We introduce the abstract weighted Morrey spaces Mp,uκ(X,M,μ), where μ is a general measure; investigate the properties of their predual spaces; and prove the boundedness of the Hardy–Littlewood maximal operator. Furthermore, we obtain an extrapolation theorem on Mp,uκ(X,M,μ), and consequently establish the norm inequalities for bounded oscillation (BO) operators on Mp,uκ(X,M,μ). As an application, we verify that BO operators include the maximal operators, Littlewood–Paley square operators, and Carleson operators on classical weighted Morrey spaces, as well as Calderón–Zygmund operators on weighted Morrey spaces of homogeneous type.
Source: Axioms
Authors: Yuchen Li, Jiang Zhou
Institution: Xinjiang University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,896
OpenAlex ID: W7161566720