Literature cited
P. I. Lizorkin, “Operators that are connected with fractional differentiation and classes of differentiable functions,” Tr. Mat. Inst. Akad. Nauk SSSR,117, 212–243 (1972).
G. A. Kalyabin, “On the traces of functions with majorized derivatives,” Mat. Zametki,18, No. 4, 499–506 (1975).
L. D. Kudryavtsev, “On polynomial traces and on the moduli of smoothness of functions of several variables,” Tr. Mat. Inst. Akad. Nauk SSSR,117, 180–211 (1972).
S. M. Nikol'skii, Approximation of Functions of Several Variables and Embeddding Theorems [in Russian], Nauka, Moscow (1977).
O. V. Besov, V. P. Il'in, and S. M. Nikol'skii, Integral Representations of Functions and Embedding Theorems [in Russian], Nauka, Moscow (1975).
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Translated from Matematicheskie Zametki, Vol. 35, No. 3, pp. 357–368, March, 1984.
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Kalyabin, G.A., Pis'mennaya, S.I. Description of traces of the functions whose derivatives are bounded with certain weights. Mathematical Notes of the Academy of Sciences of the USSR 35, 186–192 (1984). https://doi.org/10.1007/BF01139915
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DOI: https://doi.org/10.1007/BF01139915