Geodesic
Hardy Inequality with a Singular Weight inside a Domain
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 3, pp. 173-179 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

We consider Sobolev spaces with singular weights at some internal points of a 2D-domain. For the functions of these spaces, Hardy inequality is proved. Embedding theorems for weighted Sobolev spaces and theorems on equivalent renorming are obtained.
Keywords: Hardy inequality, weighted Sobolev spaces, embedding theorems, equivalent renorming theorems. 
@article{UZKU_2012_154_3_a15,
     author = {M. R. Timerbaev and N. V. Timerbaeva},
     title = {Hardy {Inequality} with {a~Singular} {Weight} inside {a~Domain}},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {173--179},
     year = {2012},
     volume = {154},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2012_154_3_a15/}
}
TY  - JOUR
AU  - M. R. Timerbaev
AU  - N. V. Timerbaeva
TI  - Hardy Inequality with a Singular Weight inside a Domain
JO  - Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki
PY  - 2012
SP  - 173
EP  - 179
VL  - 154
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/UZKU_2012_154_3_a15/
LA  - ru
ID  - UZKU_2012_154_3_a15
ER  - 
%0 Journal Article
%A M. R. Timerbaev
%A N. V. Timerbaeva
%T Hardy Inequality with a Singular Weight inside a Domain
%J Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki
%D 2012
%P 173-179
%V 154
%N 3
%U http://geodesic.mathdoc.fr/item/UZKU_2012_154_3_a15/
%G ru
%F UZKU_2012_154_3_a15
M. R. Timerbaev; N. V. Timerbaeva. Hardy Inequality with a Singular Weight inside a Domain. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 3, pp. 173-179. http://geodesic.mathdoc.fr/item/UZKU_2012_154_3_a15/

[1] Khardi G., Littlvud Dzh. E., Polia G., Neravenstva, IL, M., 1948, 456 pp.

[2] Sobolev S. L., Izbrannye voprosy teorii funktsionalnykh prostranstv i obobschennykh funktsii, Nauka, M., 1989, 254 pp.

[3] Nikolskii S. M., Priblizhenie funktsii mnogikh peremennykh i teoremy vlozheniya, Nauka, M., 1977, 456 pp.

[4] Tribel Kh., Teoriya interpolyatsii. Funktsionalnye prostranstva. Differentsialnye operatory, Mir, M., 1980, 664 pp. | MR

[5] Timerbaev M. R., “Prostranstva s normoi grafika i usilennye prostranstva Soboleva, I”, Izv. vuzov. Matem., 2003, no. 5, 55–65