Some notes on commutators of the fractional maximal and Riesz potential operators on Orlicz spaces

The main focus of this paper is commutators and maximal commutators on Orlicz spaces for fractional maximal functions and Riesz potential. The main advance in comparison with the existing results is that we manage to obtain conditions for the boundedness in less restrictive terms.

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Bibliographic Details
Published in:arXiv.org 2023-09
Main Authors: Guliyev, Vagif S, Deringoz, Fatih, Hasanov, Sabir G
Format: Article
Language:English
Subjects:
Commutators
Online Access:Get full text
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Summary:The main focus of this paper is commutators and maximal commutators on Orlicz spaces for fractional maximal functions and Riesz potential. The main advance in comparison with the existing results is that we manage to obtain conditions for the boundedness in less restrictive terms.
ISSN:2331-8422