|
Equivalent quasi-norms involving differences and moduli of continuity in anisotropic Nikol’skii–Besov spaces
B. Halima, A. Senoucib a Departement of Mathematics, University Abdelhamid Ibn Badis,
Mostaganem, Algeria
b Departement of Mathematics, Ibn Khaldoun University, Tiaret, Algeria
Abstract:
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 $0<p, \theta\leqslant\infty$.
Keywords and phrases:
equivalent quasi-norms, anisotropic Nikol’skii–Besov spaces.
Received: 16.03.2016
Citation:
B. Halim, A. Senouci, “Equivalent quasi-norms involving differences and moduli of continuity in anisotropic Nikol’skii–Besov spaces”, Eurasian Math. J., 7:2 (2016), 7–18
Linking options:
https://www.mathnet.ru/eng/emj220 https://www.mathnet.ru/eng/emj/v7/i2/p7
|
Statistics & downloads: |
Abstract page: | 207 | Full-text PDF : | 117 | References: | 29 |
|