Year: 2025
Type: article
Abstract: In this paper, we introduce a new class of function spaces, which unify and generalize Lorentz–Karamata spaces, variable Lorentz spaces, and other several classical function spaces. Based on the new spaces, we define five variable martingale Hardy–Lorentz–Karamata spaces and discuss the relationships among them. Our method is the atomic decomposition by some new techniques, which rigorously improves the known results in previous literature.
Source: Annals of Functional Analysis
Authors: Zhiwei Hao, Xinru Ding, Libo Li, Ferenc Weisz
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,290
Funders: National Natural Science Foundation of China, Natural Science Foundation of Hunan Province, Eötvös Loránd Tudományegyetem, Scientific Research Foundation of Hunan Provincial Education Department, National Outstanding Youth Science Fund Project of National Natural Science Foundation of China
OpenAlex ID: W4415996515