Multilinear commutators related to maximal function on Morrey-Banach space and its application

Abstract

The authors get the equivalent conditions for the boundedness of the commutators generated by the multilinear maximal functions and the BMO functions on Morrey-Banach space. As applications, we obtain the equivalent conditions for the boundedness of such operators on Morrey spaces with variable exponets and Morrey-Lorentz space which are all new results in the multi-linear case. Moreover, as far as we know, the results of this paper seem to be new even for the one-linear case.Mathematics subject classification (2020): 42B35, 46E30.