Geodesic
Equivalent quasi-norms involving differences and moduli of continuity in anisotropic Nikol’skii--Besov spaces
Eurasian mathematical journal, Tome 7 (2016) no. 2, pp. 7-18

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In this paper we study the equivalence of quasi-norms in the anisotropic Nikol’skii–Besov $B_{p,\theta}^l(\mathbb{R}^n)$ spaces involving differences and moduli of continuity for $0$. 
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     author = {B. Halim and A. Senouci},
     title = {Equivalent quasi-norms involving differences and moduli of continuity in anisotropic {Nikol{\textquoteright}skii--Besov} spaces},
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B. Halim; A. Senouci. Equivalent quasi-norms involving differences and moduli of continuity in anisotropic Nikol’skii--Besov spaces. Eurasian mathematical journal, Tome 7 (2016) no. 2, pp. 7-18. http://geodesic.mathdoc.fr/item/EMJ_2016_7_2_a0/