Equivalent moduli of continuity, Bloch’s theorem for pluriharmonic mappings in $\mathbb{B}{\kern-8pt}\mathbb{B}^{\boldsymbol n}$

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In this paper, we first establish a Schwarz–Pick type theorem for pluriharmonic mappings and then we apply it to discuss the equivalent norms on Lipschitz-type spaces. Finally, we obtain several Landau’s and Bloch’s type theorems for pluriharmonic mappings.