Higher order commutators for a class of rough operators
In this paper we study the (Lp(up),Lq(vq)) boundedness of the higher order commutatorsTΩ,α,bm andMΩ,α,bm formed by the fractional integral operatorTΩ,α, the fractional maximal operatorMΩ,α, and a functionb(x) in BMO(v), respectively.Our results imporve and extend the corresponding results obtained by Segovia and Torrea in 1993 [9].