Geodesic
The embedding theorem for Sobolev spaces with mixed norm for limit exponents
Matematičeskie zametki, Tome 59 (1996) no. 1, pp. 62-72.

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

This article is devoted to the investigation of some properties of Sobolev spaces with mixed norm. 
@article{MZM_1996_59_1_a5,
     author = {V. I. Burenkov and N. B. Viktorova},
     title = {The embedding theorem for {Sobolev} spaces with mixed norm for limit exponents},
     journal = {Matemati\v{c}eskie zametki},
     pages = {62--72},
     publisher = {mathdoc},
     volume = {59},
     number = {1},
     year = {1996},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1996_59_1_a5/}
}
TY  - JOUR
AU  - V. I. Burenkov
AU  - N. B. Viktorova
TI  - The embedding theorem for Sobolev spaces with mixed norm for limit exponents
JO  - Matematičeskie zametki
PY  - 1996
SP  - 62
EP  - 72
VL  - 59
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_1996_59_1_a5/
LA  - ru
ID  - MZM_1996_59_1_a5
ER  - 
%0 Journal Article
%A V. I. Burenkov
%A N. B. Viktorova
%T The embedding theorem for Sobolev spaces with mixed norm for limit exponents
%J Matematičeskie zametki
%D 1996
%P 62-72
%V 59
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_1996_59_1_a5/
%G ru
%F MZM_1996_59_1_a5
V. I. Burenkov; N. B. Viktorova. The embedding theorem for Sobolev spaces with mixed norm for limit exponents. Matematičeskie zametki, Tome 59 (1996) no. 1, pp. 62-72. http://geodesic.mathdoc.fr/item/MZM_1996_59_1_a5/

[1] Benedec A., Panzone R., “The space $L^p$ with mixed norm”, Duke Math. J., 28:3 (1961), 301–324 | DOI | MR

[2] Gudiev A. Kh., “Teorema vlozheniya dlya sleda v abstraktnykh funktsiyakh”, Dokl. AN SSSR, 147:4 (1962), 764–767 | MR

[3] Besov O. V., Ilin V. P., Nikolskii S. M., Integralnye predstavleniya funktsii i teoremy vlozheniya, Nauka, M., 1975 | Zbl

[4] Gagliardo E., “Proprieta di alcune classi di funzioni in piu variabili”, Ricerche di Mat., 7:1 (1958), 102–137 | MR | Zbl

[5] Besov O. V., “Vlozhenie anizotropnogo prostranstva Soboleva dlya oblasti s usloviem gibkogo roga”, Tr. MIAN, 181, Nauka, M., 1988, 3–14 | MR | Zbl

[6] Gabushin V. N., “Neravenstva dlya norm funktsii i ee proizvodnykh v metrikakh $L_p$”, Matem. zametki, 1:3 (1967), 291–298 | MR | Zbl

[7] Sz.-Nady B., “Über Integralgleichungen zwischen einer Funktion und ihrer Ableitung”, Acta Sci. Math., 10 (1941), 64–74 | MR

[8] Burenkov V. I., “O plotnosti beskonechno differentsiruemykh funktsii v prostranstvakh funktsii, zadannykh na proizvolnom mnozhestve”, Teoriya kubaturnykh formul i prilozheniya funktsionalnogo analiza k nekotorym zadacham matematicheskoi fiziki, Novosibirsk, 9–22