PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, vol.46, no.1, pp.129-143, 2020 (ESCI)
In this paper we study the boundedness of the maximal (Gmaximal) and potential (G-potential) operators associated with Gegenbauer differential operator on generalized G-Morrey spaces. The results of this paper are generalizations of the corresponding results to generalized G-Morrey spaces and modified Morrey spaces.We obtain also analogs of E.Nakai's results for the Hardy-Littlewood maximal operator and the Riesz potential in generalized Morrey spaces.