Year: 2025
Type: article
Abstract: Kuelbs-Steadman spaces are introduced in this article on a separable metric space having finite diameter together with a finite Borel measure. Kuelbs-Steadman spaces of the Lipschitz type are also discussed. Various inclusion properties are also discussed. In the sequel, we introduce HK-Sobolev spaces on metric mesure space which coincides with HK-Sobolev space in the Euclidean case. In application, we discuss the boundedness of Hardy-Littlewood maximal operator on Kuelbs-Steadman spaces and HK-Sobolev spaces over a metric measure space. 2020 Mathematical Subject Clasification: 46B25, 46E35, 46E36, 46F25.
Institutions: VIT Bhopal University, Gauhati University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4415013002