V. S. Guliev, F. Deringoz, S. G. Hasanov, “Commutators of Fractional Maximal Operator on Orlicz Spaces”, Mat. Zametki, 2018, Volume 104, Issue 4,Pages <nobr>516

This article is cited in 7 papers

Commutators of Fractional Maximal Operator on Orlicz Spaces

V. S. Guliev^abc, F. Deringoz^a, S. G. Hasanov^cd

^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

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.

UDC: 517

Received: 03.08.2017

DOI: 10.4213/mzm12147