非双倍测度下多线性Calderón-Zygmund算子及其交换子在Herz型空间上的有界性

摘要

本文引入非齐型空间上的Herz空间,并证明了多线性Calderón-Zygmund算子及其交换子在这些空间上的有界性.%Herz space with non-doubling measure is introduced. The boundedness of some multilinear Calder(o)n-Zygmund singular integral operators and commutators generated by Calder(o)n-Zygmund operators with RBMO(μ) functions in these spaces is proved.