Boundedness of multilinear commutators of singular integral operators on variable Herz-type spaces
摘要
In this paper, we establish the boundedness of multilinear commutators of Hardy–Littlewood maximal operators on Herz-type spaces where all the indices are variable. As a consequence, the boundedness of a large class of multilinear commutators related to sublinear operators is obtained. Moreover, we prove the boundedness of multilinear commutators of singular integral operators with Calderón–Zygmund kernels on certain variable Herz-type Hardy spaces.