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The purpose of this paper is to establish some characterizations of mixedcentral Campanato space $\mathfrak{C}^{\vec{p},\lambda}(\mathbb{R}^{n})$, viathe boundedness of the commutator operators of Hardy type. Unlike the case$\lambda\geq0$, there are some technical difficulties caused by $\lambda<0$ tobe overcome. In addition, an extra assumption called as the mixed version ofthe reverse H\"{o}lder class be required in the proof of the conversecharacterization. Moreover, some further interesting conclusions for the Hardytype operators on mixed $\lambda$-central Morrey space$\mathcal{B}^{\vec{p},\lambda}(\mathbb{R}^{n})$ are also derived.

Characterizations of the mixed central Campanato spaces via the commutator operators of Hardy type