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International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii
May 28, 2015 11:40–12:20, Пленарные доклады, Moscow, Steklov Mathematical Institute of RAS
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Тонкие свойства функций из пространств Хайлаша–Cоболева $W^p_{\alpha}$, $p>0$
V. G. Krotov, S. A. Bondarev Belarusian State University
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References
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Prokhorovich M.A., “Emkosti i tochki Lebega dlya klassov Soboleva”, Vesti NAN Belarusi, ser. fiz.-mat.nauk, 2006, no. 1, 19–23
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Kinnunen J., Tuominen H., “Pointwise behaviour of $M^{1,1}$ Sobolev functions”, Math. Z., 257:3 (2007), 613–630
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Krotov V.G., Prokhorovich M.A., “Skorost skhodimosti srednikh Steklova na metricheskikh prostranstvakh s meroi i razmernost Khausdorfa”, Matem. zametki, 89:1 (2011), 145–148
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Krotov V.G., Prokhorovich M.A., “Approksimatsiya Luzina funktsii iz klassov $W^p_\alpha$ na metricheskikh prostranstvakh s meroi”, Izv. vuzov. Matem., 2008, no. 5, 55–66
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Krotov V.G., Porabkovich A.I., “Otsenki $L^p$-ostsillyatsii funktsii pri $p>0$”, Matem. zametki, 97:3 (2015), 407–420
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Heikkinen T., Tuominen H., Approximation by Hölder functions in Besov and Triebel–Lizorkin spaces, 2015, arXiv: 1504.02585
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