Commutators of Fractional Maximal Operator on Orlicz Spaces


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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.

作者简介

V. Guliyev

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

编辑信件的主要联系方式.
Email: vagif@guliyev.com
土耳其, Kirsehir, 40100; Moscow, 117198; Baku, AZ1141

F. Deringoz

Ahi Evran University

Email: vagif@guliyev.com
土耳其, Kirsehir, 40100

S. Hasanov

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

Email: vagif@guliyev.com
阿塞拜疆, Baku, AZ1141; Ganja, AZ2003

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