Geodesic
Commutators of Fractional Maximal Operator on Orlicz Spaces
Matematičeskie zametki, Tome 104 (2018) no. 4, pp. 516-526

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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. 
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     author = {V. S. Guliev and F. Deringoz and S. G. Hasanov},
     title = {Commutators of {Fractional} {Maximal} {Operator} on {Orlicz} {Spaces}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {516--526},
     publisher = {mathdoc},
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     number = {4},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2018_104_4_a2/}
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V. S. Guliev; F. Deringoz; S. G. Hasanov. Commutators of Fractional Maximal Operator on Orlicz Spaces. Matematičeskie zametki, Tome 104 (2018) no. 4, pp. 516-526. http://geodesic.mathdoc.fr/item/MZM_2018_104_4_a2/