Estimate for some integral operators and their commutators on generalized fractional mixed Morrey spaces

In this paper, we first establish the definition of a generalized fractional mixed Morrey space Lp→,η,φ(Rn), where p→=(p1,p2, ⋯,pn), 1α>0. Finally, the boundedness for the fractional maximal operator Mα, the commutator [b,Mα] associated with BMO functions and the commutator [b,T] formed by T and b∈Lipβ(Rn) on spaces Lp→,η,φ(Rn) is established, respectively.