Geodesic
Multiplicative Estimates for Derivatives on a Domain
Matematičeskie zametki, Tome 108 (2020) no. 4, pp. 507-514.

Voir la notice de l'article provenant de la source Math-Net.Ru

Multiplicative estimates of the $L_p$-norms of derivatives of a function on a domain with flexible cone condition are established.
Keywords: regular domain, multiplicative estimates of derivatives.
Mots-clés : Sobolev spaces 
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     title = {Multiplicative {Estimates} for {Derivatives} on a {Domain}},
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O. V. Besov. Multiplicative Estimates for Derivatives on a Domain. Matematičeskie zametki, Tome 108 (2020) no. 4, pp. 507-514. http://geodesic.mathdoc.fr/item/MZM_2020_108_4_a2/

[1] E. Gagliardo, “Ulteriori proprietà di alcune classi di funzioni in più variabili”, Ricerche Mat., 8 (1959), 24–51 | MR | Zbl

[2] L. Nirenberg, “On elliptic partial differential equations”, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (3), 13 (1959), 115–162 | MR | Zbl

[3] O. V. Besov, V. P. Ilin, S. M. Nikolskii, Integralnye predstavleniya funktsii i teoremy vlozheniya, Nauka, M., 1996 | MR | Zbl

[4] Kh. Tribel, Teoriya interpolyatsii, funktsionalnye prostranstva, differentsialnye operatory, Mir, M., 1980 | MR | Zbl

[5] L. Khermander, Otsenki dlya operatorov, invariantnykh otnositelno sdviga, IL, M., 1962 | MR

[6] O. V. Besov, “Ekvivalentnye normirovki prostranstva Soboleva–Liuvillya na oblasti”, Issledovaniya po teorii differentsiruemykh funktsii mnogikh peremennykh i ee prilozheniyam. Chast 14, Tr. MIAN SSSR, 194, Nauka, M., 1992, 15–32 | MR | Zbl

[7] S. L. Sobolev, Nekotorye primeneniya funktsionalnogo analiza v matematicheskoi fizike, Nauka, M., 1988 | MR | Zbl