Geodesic
Embedding theorems of different metrics for classes of functions with dominant mixed modulus of smoothness
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2014), pp. 59-62 
T. F. Ismagilov. Embedding theorems of different metrics for classes of functions with dominant mixed modulus of smoothness. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2014), pp. 59-62. http://geodesic.mathdoc.fr/item/VMUMM_2014_2_a9/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Embedding theorems in a mixed norm are proved in the paper for classes of functions with a dominanting mixed modulus of smoothness being extentions of well-known classes of Nikol'skii.

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[2] Bakhvalov N.S., “Teoremy vlozheniya dlya klassov funktsii s neskolkimi ogranichennymi proizvodnymi”, Vestn. Mosk. un-ta. Matem. Mekhan., 1963, no. 3, 7–16 | Zbl

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

[5] Besov O.V., Ilin V.A., Nikolskii S.M., Integralnye predstavleniya funktsii i teoremy vlozheniya, Nauka, M., 1975 | MR

[6] Kudryavtsev N.L., “O priblizhenii funktsii tselymi funktsiyami eksponentsialnogo tipa i teoremakh vlozheniya v smeshannoi norme”, Tr. Matem. in-ta AN SSSR, 170, 1984, 191–202 | Zbl

[7] Potapov M.K., “Priblizhenie “uglom” i teoremy vlozheniya”, Math. balk., 2 (1972), 183–198 | Zbl

[8] Potapov M.K., “Teoremy vlozheniya v smeshannoi metrike”, Tr. Matem. in-ta AN SSSR, 156, 1980, 143–156 | Zbl

[9] Ismagilov T.F., “Teoremy vlozheniya klassov funktsii s dominiruyuschim smeshannym modulem gladkosti”, Vestn. Mosk. un-ta. Matem. Mekhan., 2013, no. 3, 3–10