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Eurasian Mathematical Journal, 2010, Volume 1, Number 4, Pages 20–31 (Mi emj34)  
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
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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
Bibliographic databases:
Document Type: Article
MSC: 54C35, 35B65
Language: English
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
Citation in format AMSBIB
\Bibitem{AyeAbe10}
\by T.~G.~Ayele, A.~N.~Abebe
\paper Properties of iterated norms in Nikol'skii--Besov type spaces with generalized smoothness
\jour Eurasian Math. J.
\yr 2010
\vol 1
\issue 4
\pages 20--31
\mathnet{http://mi.mathnet.ru/emj34}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2905200}
\zmath{https://zbmath.org/?q=an:1234.46030}
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