Geodesic
Imbedding theorems for abstract function spaces and their
Sbornik. Mathematics, Tome 62 (1989) no. 1, pp. 261-276 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The author proves theorems on the continuity of imbedding operators for abstract anisotropic spaces, which theorems arise in the investigation of the theory of boundary-value problems for partial differential-operator equations. Bibliography: 19 titles. 
@article{SM_1989_62_1_a16,
     author = {V. B. Shakhmurov},
     title = {Imbedding theorems for abstract function spaces and their},
     journal = {Sbornik. Mathematics},
     pages = {261--276},
     year = {1989},
     volume = {62},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1989_62_1_a16/}
}
TY  - JOUR
AU  - V. B. Shakhmurov
TI  - Imbedding theorems for abstract function spaces and their
JO  - Sbornik. Mathematics
PY  - 1989
SP  - 261
EP  - 276
VL  - 62
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/SM_1989_62_1_a16/
LA  - en
ID  - SM_1989_62_1_a16
ER  - 
%0 Journal Article
%A V. B. Shakhmurov
%T Imbedding theorems for abstract function spaces and their
%J Sbornik. Mathematics
%D 1989
%P 261-276
%V 62
%N 1
%U http://geodesic.mathdoc.fr/item/SM_1989_62_1_a16/
%G en
%F SM_1989_62_1_a16
V. B. Shakhmurov. Imbedding theorems for abstract function spaces and their. Sbornik. Mathematics, Tome 62 (1989) no. 1, pp. 261-276. http://geodesic.mathdoc.fr/item/SM_1989_62_1_a16/

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

[2] Lizorkin P. I., “Otsenki smeshannykh i promezhutochnykh proizvodnykh v vesovykh $L_p$-normakh”, Trudy MIAN SSSR, 156, 1980, 130–142 | MR | Zbl

[3] Besov O. V., “Vesovye otsenki smeshannykh proizvodnykh v oblasti”, Trudy MIAN SSSR, 156, 1980, 16–21 | MR | Zbl

[4] Dzhabrailov A. D., Mamedov R. Sh., “$L_q$-otsenki funktsii iz vesovykh prostranstv, normirovannykh s pomoschyu zadannogo nabora smeshannykh proizvodnykh”, DAN SSSR, 262:5 (1982), 1048–1051 | MR | Zbl

[5] Uspenskii S. V., “O smeshannykh proizvodnykh funktsii, summiruemykh s vesom”, Differents. uravneniya, 1967, no. 1, 3, 139–154 | MR | Zbl

[6] Lions Zh. L., Madzhenes E., Neodnorodnye granichnye zadachi i ikh prilozheniya, Mir, M., 1971 | Zbl

[7] Tribel Kh., Teorii interpolyatsii. Funktsionalnye prostranstva. Differentsialnye operatory, Mir, M., 1980 | MR

[8] Sobolev S. L., “Rasshireniya prostranstv abstraktnykh funktsii, svyazannykh s teoriei integrala”, DAN SSSR, 114:6 (1957), 1170–1173 | MR | Zbl

[9] Korotkov V. B., “O priznakakh kompaktnosti v prostranstvakh abstraktnykh funktsii i o polnoi nepreryvnosti operatora vlozheniya”, DAN SSSR, 160:3 (1965), 530–533 | MR | Zbl

[10] Grosvard P., “Espaces de traces a'plusieurs variables”, C. r. Acad. Sc. Paris. Ser. A, 257:2 (1963), 349–352 | MR

[11] Yakubov S. Ya., Shakhmurov V. B., “Teoremy vlozheniya v anizotropnykh prostranstvakh vektor-funktsii”, Matem. zametki, 22:2 (1977), 297–301 | MR

[12] Shakhmurov V. B., “Kompaktnost vlozheniya v anizotropnykh prostranstvakh vektor-funktsii i ikh prilozheniya”, DAN SSSR, 241:6 (1978), 1285–1287 | MR | Zbl

[13] Lizorkin P. I., “($L_p$-, $L_q$)-multiplikatory integralov Fure”, DAN SSSR, 152:4 (1963), 808–811 | MR | Zbl

[14] Dezin A. A., “Vyrozhdayuschiesya operatornye uravneniya”, Matem. sborn., 115(157) (1981), 323–336 | MR | Zbl

[15] Orlov V. P., “Drobnye stepeni regulyarno vyrozhdayuschikhsya differentsialnykh operatorov”, Tr. NIIM VGU, 14 (1974), 54–62 | MR

[16] Glushko V. P., Smelyanskii O. M., “Koertsitivnye otsenki reshenii odnogo vyrozhdayuschego differentsialnogo uravneniya v gilbertovom prostranstve”, Tr. matem. fak-ta VGU, 9 (1973), 155–161

[17] Besov O. V., “K rasprostraneniyu funktsii za predely oblasti s sokhraneniem modulya gladkosti $\|L_p\|$”, Proc. Conf. on Constructive Theory of Funcions (Budapest, 1969), 1971, 61–67

[18] Krein S. G., Lineinye differentsialnye uravneniya v banakhovom prostranstve, Nauka, M., 1967 | MR

[19] Kato T., Teoriya vozmuschenii lineinykh operatorov, Mir, M., 1972 | MR | Zbl