On weighted classes of entire functions in $\mathbb{C}^n$

In the paper the weighted classes $A^p_{\omega}(\mathbb{C}^n)$ of entire functions of several complex variables are introduced. These classes depend on parameter-function $\omega(х)$ and they are arbitrarily large. For functions belonging to $A^2_{\omega}(\mathbb{C}^n)$ the integral representation is obtained.