A. R. Aliev, R. A. Aliev, “On the Boundedness of the Fractional Maximal Operator, the Riesz Potential, and Their Commutators in Orlicz Spaces”, Mat. Zametki, 2024, Volume 115, Issue 4,Pages <nobr>491

On the Boundedness of the Fractional Maximal Operator, the Riesz Potential, and Their Commutators in Orlicz Spaces

A. R. Aliev^ab, R. A. Aliev^cb

^a Azerbaijan State University of Oil and Industry, Baku
^b Khazar University
^c Baku State University

Abstract: In this paper, conditions are found for the boundedness of the fractional maximal operator, the Riesz potential, and their commutators in Orlicz spaces.

Keywords: fractional maximal operator, Riesz potential, commutator, Orlicz spaces.

UDC: 517.518.14

MSC: 42B20, 42B25, 46E30

Received: 03.10.2023
Revised: 19.12.2023

DOI: 10.4213/mzm14166