Commutators of Multi-sublinear Maximal Operators on Product Total Morrey-Guliyev Spaces

Abstract

In this paper, we obtain necessary and sufficient conditions for the bound-edness of the multi-sublinear maximal commutator operator M b and the commuta-tor of the multi-sublinear maximal operator [ b , M ] on product total Morrey spaces L p 1 ,lambda 1 , & micro; 1 ( IIB n ) & times; ... & times; L p m ,lambda m , & micro; m ( IIB n ) to the total Morrey spaces L p ,lambda, & micro; ( IIB n ). New char-acterizations of certain subclasses of BMOm(IIBn) are obtained.