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Matematicheskie Zametki, 2018, Volume 104, Issue 4, Pages 516–526
DOI: https://doi.org/10.4213/mzm12147 (Mi mzm12147) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Commutators of Fractional Maximal Operator on Orlicz Spaces

V. S. Gulievabc, F. Deringoza, S. G. Hasanovcd

a Ahi Evran University
b Peoples' Friendship University of Russia, Moscow
c Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences
d Ganja State University
Full-text PDF (503 kB) Citations (6)
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DOI: https://doi.org/10.4213/mzm12147
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.
Keywords: Orlicz space, fractional maximal operator, commutator, BMO.
Funding agency Grant number
Azerbaijan National Academy of Sciences 02.a03.21.0008
Ahi Evran University FEF.A4.17.009
The research of V. S. Guliyev was supported in part by the Presidium of the Azerbaijan National Academy of Science 2015 and by the Ministry of Education and Science of the Russian Federation (project mo. 02.a03.21.0008).
The research of F. Deringoz was supported in part by the Ahi Evran University Scientific Research (grant no. FEF. A4.17.009).
Received: 03.08.2017
English version:
Mathematical Notes, 2018, Volume 104, Issue 4, Pages 498–507
DOI: https://doi.org/10.1134/S0001434618090171
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: V. S. Guliev, F. Deringoz, S. G. Hasanov, “Commutators of Fractional Maximal Operator on Orlicz Spaces”, Mat. Zametki, 104:4 (2018), 516–526; Math. Notes, 104:4 (2018), 498–507
Citation in format AMSBIB
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\paper Commutators of Fractional Maximal Operator on Orlicz Spaces
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\vol 104
\issue 4
\pages 516--526
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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