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Sibirskii Matematicheskii Zhurnal, 2014, Volume 55, Number 2, Pages 436–453 (Mi smj2545)  

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
Full-text PDF (372 kB) Citations (1)
References:
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
English version:
Siberian Mathematical Journal, 2014, Volume 55, Issue 2, Pages 356–371
DOI: https://doi.org/10.1134/S0037446614020189
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
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
Citation in format AMSBIB
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\pages 436--453
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  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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