This article is cited in 3 papers

Dyadic Nikolskii–Besov Spaces and Their Relationship to Classical Spaces

I. P. Irodova

P. G. Demidov Yaroslavl State University

Abstract: Properties of dyadic spaces are considered and a relationship between dyadic and classical spaces is described. A property of classical spaces is proved by using the technique of dyadic spaces.

Keywords: dyadic Nikolskii–Besov spaces, local approximation, approximation space, quasicube, smooth spline function, Bessel potential spaces.

UDC: 517.51

Received: 20.06.2006
Revised: 27.04.2007

DOI: 10.4213/mzm4715

 English version: Mathematical Notes, 2008, 83:5, 624–634

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