TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE, vol.177, no.2, pp.217-236, 2023 (ESCI)
In this paper, we find the necessary and sufficient conditions for the boundedness of Gegenbauer fractional (G-fractional) maximal operator MaG in Gegenbauer-Olicz (G-Orlicz) spaces. As an application of these results, we consider the boundedness of G-fractional maximal commutator Mb,a G in G-Orlicz spaces.