In the present paper, we give necessary and sufficient conditions for the boundedness of commutators of fractional maximal operator on Orlicz spaces. The main advance in comparison with the existing results is that we ...

We show continuity in generalized Orlicz-Morrey spaces M (Phi,phi) (R-+(n)) of nonsingular integral operators and its commutators with BMO functions. We shall give necessary and sufficient conditions for the boundedness ...

In this paper, we study the boundedness of the higher order Riesz transforms R, R* and their commutators [b, R], [b, R*] on local generalized Morrey spaces LMp,phi alpha,V,{x0} and vanishing generalized Morrey spaces VMp,phi ...