Multilinear commutators of singular integral operators in variable exponent Herz-type spaces (Q2317926)

In this paper, the authors generalize some results about multilinear operators to variable exponent Herz type spaces. The authors firstly study the boundedness of multilinear commutators of Hardy-Littlewood maximal operators on variable exponent Herz and Herz-Morrey spaces. Subsequently, as an application, the authors obtain the boundedness for a large class of the multilinear commutators related to sublinear operators. Furthermore, the authors study the boundedness of multilinear commutators of singular integral operators with Calderón-Zygmund kernels on variable exponent Herz-type Hardy spaces by using the atomic decomposition.