Geodesic
Embedding theorem of different metrics for a generalized Nikol'skii class
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2015), pp. 28-32 
T. F. Ismagilov. Embedding theorem of different metrics for a generalized Nikol'skii class. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2015), pp. 28-32. http://geodesic.mathdoc.fr/item/VMUMM_2015_4_a3/
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     author = {T. F. Ismagilov},
     title = {Embedding theorem of different metrics for a generalized {Nikol'skii} class},
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Voir la notice de l'article provenant de la source Math-Net.Ru

A class of functions being a generalization of well-known Nikolskii's classes is considered in the paper. An embedding theorem of different metrics is proved.

[1] Nikolskii C.M., “Funktsii s dominiruyuschei smeshannoi proizvodnoi, udovletvoryayuschei kratnomu usloviyu Gëldera”, Sib. matem. zhurn., 4:6 (1963), 1342–1364

[2] Nikolskii S.M., Priblizhenie funktsii mnogikh peremennykh i teoremy vlozheniya, 2-e izd., Nauka, M., 1977 | MR

[3] Lizorkin P.I., Nikolskii S.M., “Klassifikatsiya differentsiruemykh funktsii na osnove prostranstv s dominiruyuschei smeshannoi proizvodnoi”, Tr. Matem. in-ta AN SSSR, 77, 1965, 143–167 | Zbl

[4] Potapov M.K., “O priblizhenii uglom”, Proc. Conf. on constructive theory of functions (approximation theory) (1969), Akad. Kiadó, Budapest, 1972, 371–399