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This article is cited in 6 scientific papers (total in 6 papers)
Embedding theorems for anisotropic Besov spaces $B_{\mathbf{pr}}^{\alpha\mathbf{q}}([0,2\pi)^n)$
K. A. Bekmaganbetova, E. D. Nursultanovab
a Kazakhstan Branch of Lomonosov Moscow State University
b L. N. Gumilev Eurasian National University
Abstract:
We study the anisotropic Besov spaces
$B_{\mathbf{pr}}^{\alpha\mathbf{q}}([0,2\pi)^n)$
and obtain limit embedding theorems for them.
Keywords:
Lorentz space, Besov space, embedding theorem, trace theorem.
DOI:
https://doi.org/10.4213/im2741
 Full text:
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English version:
Izvestiya: Mathematics, 2009, 73:4, 655–668
Bibliographic databases:
     
UDC:
517.51
MSC: 46E35
Received: 29.10.2007
Revised: 21.02.2008
Citation:
K. A. Bekmaganbetov, E. D. Nursultanov, “Embedding theorems for anisotropic Besov spaces $B_{\mathbf{pr}}^{\alpha\mathbf{q}}([0,2\pi)^n)$”, Izv. RAN. Ser. Mat., 73:4 (2009), 3–16; Izv. Math., 73:4 (2009), 655–668
Citation in format AMSBIB
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http://mi.mathnet.ru/eng/izv2741https://doi.org/10.4213/im2741 http://mi.mathnet.ru/eng/izv/v73/i4/p3
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This publication is cited in the following articles:
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M. I. Dyachenko, “Local smoothness of the conjugate functions”, Eurasian Math. J., 2:2 (2011), 31–59
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K. A. Bekmaganbetov, Ye. Toleugazy, “Order of the orthoprojection widths of the anisotropic Nikol'skii–Besov classes in the anisotropic Lorentz space”, Eurasian Math. J., 7:3 (2016), 8–16
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Toleugazy Y., “Embedding Theorems, Theorems of a Trace and Approach For Anisotropic B-PR(Alpha Q) (T-D) Nikol'Skii-Besov Spaces”, Bull. Karaganda Univ-Math., 84:4 (2016), 146–154
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Wishart J.R., “Smooth Hyperbolic Wavelet Deconvolution With Anisotropic Structure”, Electron. J. Stat., 13:1 (2019), 1694–1716
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Sadykova K.K., Tleukhanova N.T., “Estimates of the Norm of the Convolution Operator in Anisotropic Besov Spaces With the Dominated Mixed Derivative”, Bull. Karaganda Univ-Math., 95:3 (2019), 51–59
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Bekmaganbetov K.A., Kervenev K.Y., Toleugazy Y., “Interpolation Theorem For Nikol'Skii-Besov Type Spaceswith Mixed Metric”, Bull. Karaganda Univ-Math., 100:4 (2020), 33–42
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