Boundedness of Gegenbauer fractional maximal commutator on generalized Gegenbauer-Morrey spaces

Abstract

In this paper, we obtain results of the Spanne-Guliyev, Adams-Guliyev, Adams-Gunavan and Gunawan-Guliyev type on the boundedness of the G-fractional maximal operator M α G on generalized Gegenbauer-Morrey (G-generalized Morrey) spaces. In addition, we characterize the boundedness of the kth order Gegenbauer fractional maximal commutator M b,α,k G on a generalized G-Morrey spaces Mp,γ,ω(R + ).