Geodesic
Interconnection of partial smoothness moduli in various mixed metrics
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2021), pp. 19-31 
M. K. Potapov; B. V. Simonov. Interconnection of partial smoothness moduli in various mixed metrics. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2021), pp. 19-31. http://geodesic.mathdoc.fr/item/VMUMM_2021_5_a2/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Inequalities of Ul'yanov's type between partial moduli of smoothness of positive orders in different metrics are proved in the paper.

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[3] Potapov M. K., Simonov B. V., “Otsenki chastnykh modulei gladkosti v metrikakh $L_{p_1 \infty}$ i $L_{\infty p_2}$ cherez chastnye moduli gladkosti v metrikakh $L_{p_1 p_2}$”, Vestn. Mosk. un-ta. Matem. Mekhan., 2020, no. 1, 3–17 | Zbl

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[5] Potapov M. K., Simonov B. V., Tikhonov S. Yu., “O sootnosheniyakh mezhdu modulyami gladkosti v raznykh metrikakh”, Vestn. Mosk. un-ta. Matem. Mekhan., 2009, no. 3, 17–25 | Zbl

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[9] Potapov M. K., Simonov B. V., “Svoistva chastnogo modulya gladkosti polozhitelnogo poryadka v smeshannoi metrike”, Sovremennye problemy matematiki i mekhaniki, Tr. mekh.-mat. f-ta MGU im. M. V. Lomonosova, X, no. 1, Izd-vo Popechitelskogo soveta mekh.-mat. f-ta MGU imeni M. V. Lomonosova, M., 2014, 58–71

[10] Potapov M. K., Simonov B. V., Tikhonov S. Yu., Drobnye moduli gladkosti, Ucheb. posobie, MAKS Press, M., 2016