Multilinear Commutators of Multilinear Square Operators Associated with New BMO Functions and New Weight Functions

Via the new weight A ₏^ () and the new BMO function, the authors introduce a new class of multilinear square operators T with generalized kernels. The boundedness of multilinear commutators and multilinear iterative commutators generated by T and the new BMO function on weighted Lebesgue spaces and weighted Morrey spaces is obtained, respectively. The results of this article contain some known conclusions.