Email this article Commutators of Fractional Maximal Operator on Orlicz Spaces
- Authors: Guliyev V.S.1,2,3, Deringoz F.1, Hasanov S.G.3,4
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Affiliations:
- Ahi Evran University
- RUDN University
- Institute of Mathematics and Mechanics of NAS of Azerbaijan
- Ganja State University
- Issue: Vol 104, No 3-4 (2018)
- Pages: 498-507
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/151387
- DOI: https://doi.org/10.1134/S0001434618090171
- ID: 151387
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Abstract
In the present paper, we give necessary and sufficient conditions for the boundedness of commutators of fractional maximal operator on Orlicz spaces. The main advance in comparison with the existing results is that we manage to obtain conditions for the boundedness not in integral terms but in less restrictive terms of supremal operators.
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About the authors
V. S. Guliyev
Ahi Evran University; RUDN University; Institute of Mathematics and Mechanics of NAS of Azerbaijan
Author for correspondence.
Email: vagif@guliyev.com
Turkey, Kirsehir, 40100; Moscow, 117198; Baku, AZ1141
F. Deringoz
Ahi Evran University
Email: vagif@guliyev.com
Turkey, Kirsehir, 40100
S. G. Hasanov
Institute of Mathematics and Mechanics of NAS of Azerbaijan; Ganja State University
Email: vagif@guliyev.com
Azerbaijan, Baku, AZ1141; Ganja, AZ2003
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