Boundedness of Gegenbauer fractional maximal commutator on generalized Gegenbauer-Morrey spaces
Transactions Issue Mathematics, Azerbaijan National Academy of Sciences, vol.44, no.1, pp.83-116, 2024 (Scopus)
- Publication Type: Article / Article
- Volume: 44 Issue: 1
- Publication Date: 2024
- Doi Number: 10.30546/2617-7900.44.1.2024.83
- Journal Name: Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
- Journal Indexes: Scopus
- Page Numbers: pp.83-116
- Keywords: BMOG space, G-fractional maximal commutator, G-fractional maximal operator, generalized G-Morrey spaces
- Open Archive Collection: Article, Digital Heritage Collection
- Azerbaijan State University of Economics (UNEC) Affiliated: Yes
Abstract
In this paper, we obtain results of the Spanne-Guliyev, Adams-Guliyev, Adams-Gunavan and Gunawan-Guliyev type on the boundedness of the G-fractional maximal operator MGα on generalized Gegenbauer-Morrey (G-generalized Morrey) spaces. In addition, we characterize the boundedness of the kth order Gegenbauer fractional maximal commutator Mb,α,k G on a generalized G-Morrey spaces Mp,γ,ω(R+).