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This article is cited in 1 scientific paper (total in 1 paper)
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.
Received: 01.09.2010
Citation:
T. G. Ayele, A. N. Abebe, “Properties of iterated norms in Nikol'skii–Besov type spaces with generalized smoothness”, Eurasian Math. J., 1:4 (2010), 20–31
Linking options:
https://www.mathnet.ru/eng/emj34 https://www.mathnet.ru/eng/emj/v1/i4/p20
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