Geodesic
Properties of iterated norms in Nikol'skii--Besov type spaces with generalized smoothness
Eurasian mathematical journal, Tome 1 (2010) no. 4, pp. 20-31

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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. 
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T. G. Ayele; A. N. Abebe. Properties of iterated norms in Nikol'skii--Besov type spaces with generalized smoothness. Eurasian mathematical journal, Tome 1 (2010) no. 4, pp. 20-31. http://geodesic.mathdoc.fr/item/EMJ_2010_1_4_a1/