Sketch of the theory of growth of functions holomorphic in a multidimensional torus

We develop an approach to the theory of growth of class-$H(\mathbb{T}^n)$ functions holomorphic in a multidimensional torus $\mathbb{T}^n$ based on the structure of elements of this class and well-known results of the theory of growth of entire functions of several complex variables. This approach is illustrated in the case where the growth of the function $g\in H(\mathbb{T}^n)$ is compared with the growth of its maximum modulus on the skeleton of polydisk. Properties of the corresponding characteristics of growth of class-$H(\mathbb {T}^n)$ functions are examined and their relation to coefficients of their Laurent series are studied. A comparative analysis of these results and similar assertions of the theory of growth of entire functions of several variables is given.