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Sibirskii Matematicheskii Zhurnal, 2014, Volume 55, Number 2, Pages 436–453
(Mi smj2545)
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This article is cited in 1 scientific paper (total in 1 paper)
On the embedding of anisotropic Nikol’skiÄ-Besov mixed norm spaces
K. Suleimenova, N. N. Tashatovb a Turan-Astana University, Astana, Kazakhstan
b L. N. Gumilyov Eurasian National University, Astana, Kazakhstan
Abstract:
The embedding of the anisotropic spaces $B^{\omega_1,\dots,\omega_n}_{p_1,\dots,p_n,\theta}(\mathbb R^n)$ with mixed norm is studied. We establish some necessary and sufficient conditions of the embedding $B^{\omega_1,\dots,\omega_n}_{p_1,\dots,p_n,\theta}(\mathbb R^n)\subset L^{q_1,\dots,q_n}(\mathbb R^n)$.
Keywords:
smoothness modules, function space, entire functions of exponential type.
Received: 25.08.2013
Citation:
K. Suleimenov, N. N. Tashatov, “On the embedding of anisotropic Nikol’skiÄ-Besov mixed norm spaces”, Sibirsk. Mat. Zh., 55:2 (2014), 436–453; Siberian Math. J., 55:2 (2014), 356–371
Linking options:
https://www.mathnet.ru/eng/smj2545 https://www.mathnet.ru/eng/smj/v55/i2/p436
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