Properties of iterated norms in Nikol'skii–Besov type spaces with generalized smoothness

In this paper we consider iterated norms of Nikol'skii–Besov type in the spaces $\mathcal B^\varphi_\theta(\cdots (\mathcal B^\varphi_\theta(L_p(\Omega)))\cdots)$ with generalized smoothness $\varphi$ and study their properties.