Let \(\vec {p}\in (0,\infty )^n\) and A be a general expansive matrix on \(\mathbb {R}^n\) with all eigenvalues \(\lambda \) satisfying \(|\lambda |>1\) . The anisotropic mixed-norm Hardy spaces \(H_A^{\vec {p}}(\mathbb {R}^n)\) associated with A were initiated by L. Huang et al. in 2020. In this article, we show the boundedness of area operators from the anisotropic mixed-norm Hardy space \(H_A^{\vec {p}}(\mathbb {R}^n)\) to the mixed-norm Lebesgue space \(L^{\vec {p}}(\mathbb {R}^n)\) for \(\vec {p}\in (1,\infty )^n\) in terms of Carleson measures. As an application, we also obtain the boundedness of convolution operators from \(H_A^{\vec {p}}(\mathbb {R}^n)\) to the tent space \(T^{\vec {p}}_q(A,\mu _\delta )\) with \(\vec {p}\in (1,\infty )^n\) and \(q\in [1,\infty )\) , where \(\mu _\delta \) is a positive Borel measure on \(\mathbb {R}^n\times \mathbb {Z}\) .
