Commutators of Fractional Maximal Operator on Orlicz Spaces


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Resumo

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.

Sobre autores

V. Guliyev

Ahi Evran University; RUDN University; Institute of Mathematics and Mechanics of NAS of Azerbaijan

Autor responsável pela correspondência
Email: vagif@guliyev.com
Turquia, Kirsehir, 40100; Moscow, 117198; Baku, AZ1141

F. Deringoz

Ahi Evran University

Email: vagif@guliyev.com
Turquia, Kirsehir, 40100

S. Hasanov

Institute of Mathematics and Mechanics of NAS of Azerbaijan; Ganja State University

Email: vagif@guliyev.com
Azerbaijão, Baku, AZ1141; Ganja, AZ2003

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