T. G. Ayele, A. N. Abebe, “Properties of iterated norms in Nikol'skii–Besov type spaces with generalized smoothness”, Eurasian Math. J., 2010, Volume 1, Number 4,Pages <nobr>20

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

T. G. Ayele, A. N. Abebe

Department of Mathematics, Addis Ababa University, Addis Ababa, Ethiopia

Abstract: 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.

Keywords and phrases: iterated norms, Nikol'skii–Besov spaces, generalized smoothness.

MSC: 54C35, 35B65

Received: 01.09.2010

Language: English