Commutators of Fractional Maximal Operator on Orlicz Spaces
- Авторы: Guliyev V.S.1,2,3, Deringoz F.1, Hasanov S.G.3,4
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Учреждения:
- Ahi Evran University
- RUDN University
- Institute of Mathematics and Mechanics of NAS of Azerbaijan
- Ganja State University
- Выпуск: Том 104, № 3-4 (2018)
- Страницы: 498-507
- Раздел: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/151387
- DOI: https://doi.org/10.1134/S0001434618090171
- ID: 151387
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Аннотация
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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Об авторах
V. Guliyev
Ahi Evran University; RUDN University; Institute of Mathematics and Mechanics of NAS of Azerbaijan
Автор, ответственный за переписку.
Email: vagif@guliyev.com
Турция, Kirsehir, 40100; Moscow, 117198; Baku, AZ1141
F. Deringoz
Ahi Evran University
Email: vagif@guliyev.com
Турция, Kirsehir, 40100
S. Hasanov
Institute of Mathematics and Mechanics of NAS of Azerbaijan; Ganja State University
Email: vagif@guliyev.com
Азербайджан, Baku, AZ1141; Ganja, AZ2003
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