Interpolation Theorem for Anisotropic Net Spaces

The paper studies the interpolation properties of anisotropic net spaces $N_{\bar{p},\bar{q}}(M)$ , where $\bar{p}=(p_1, p_2)$ , $\bar{q}=(q_1, q_2)$ . It is shown that the scale of spaces $N_{\bar{p},\bar{q}}(M)$ is closed with respect to the Fernandez multidimensional interpolation method.