Interpolation Theorem for Discrete Net Spaces

In this paper, we study the interpolation properties of the net spaces \(n_{p,q}(M)\) , when M is the set of all segments from \(\mathbb {Z}\) . It is shown that in this case, the scale of spaces is closed with respect to the real interpolation method. As a corollary, an interpolation theorem of Marcinkevich type is presented.