Voir la notice de l'article provenant de la source Math-Net.Ru
@article{TRSPY_2015_290_a23, author = {A. Yu. Golovko}, title = {Additive and multiplicative anisotropic estimates for integral norms of differentiable functions on irregular domains}, journal = {Informatics and Automation}, pages = {293--303}, publisher = {mathdoc}, volume = {290}, year = {2015}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/TRSPY_2015_290_a23/} }
TY - JOUR AU - A. Yu. Golovko TI - Additive and multiplicative anisotropic estimates for integral norms of differentiable functions on irregular domains JO - Informatics and Automation PY - 2015 SP - 293 EP - 303 VL - 290 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TRSPY_2015_290_a23/ LA - ru ID - TRSPY_2015_290_a23 ER -
%0 Journal Article %A A. Yu. Golovko %T Additive and multiplicative anisotropic estimates for integral norms of differentiable functions on irregular domains %J Informatics and Automation %D 2015 %P 293-303 %V 290 %I mathdoc %U http://geodesic.mathdoc.fr/item/TRSPY_2015_290_a23/ %G ru %F TRSPY_2015_290_a23
A. Yu. Golovko. Additive and multiplicative anisotropic estimates for integral norms of differentiable functions on irregular domains. Informatics and Automation, Modern problems of mathematics, mechanics, and mathematical physics, Tome 290 (2015), pp. 293-303. http://geodesic.mathdoc.fr/item/TRSPY_2015_290_a23/
[1] Besov O.V., “Teorema vlozheniya Soboleva dlya oblasti s neregulyarnoi granitsei”, Mat. sb., 192:3 (2001), 3–26 | DOI | MR | Zbl
[2] Besov O.V., “Integralnye otsenki differentsiruemykh funktsii na neregulyarnykh oblastyakh”, Mat. sb., 201:12 (2010), 69–82 | DOI | MR
[3] Besov O.V., Ilin V.P., Nikolskii S.M., Integralnye predstavleniya funktsii i teoremy vlozheniya, Nauka, M., 1996 | MR
[4] Golovko A.Yu., “Multiplikativnye neravenstva tipa Galyardo–Nirenberga dlya oblastei s neregulyarnoi granitsei”, Tr. MFTI, 4:4 (2012), 31–40
[5] Ilin V.P., “Nekotorye neravenstva v funktsionalnykh prostranstvakh i ikh primenenie k issledovaniyu skhodimosti variatsionnykh protsessov”, Tr. MIAN, 53 (1959), 64–127 | Zbl
[6] Labutin D.A., “Neuluchshaemost neravenstv Soboleva dlya klassa neregulyarnykh oblastei”, Tr. MIAN, 232 (2001), 218–222 | MR | Zbl
[7] Mazya V.G., Prostranstva S.L. Soboleva, Izd-vo LGU, L., 1985 | MR
[8] Sobolev S.L., Nekotorye primeneniya funktsionalnogo analiza v matematicheskoi fizike, Nauka, M., 1988 | MR
[9] Stein I.M., Singulyarnye integraly i differentsialnye svoistva funktsii, Mir, M., 1973 | MR
[10] Trushin B.V., “Teoremy vlozheniya Soboleva dlya nekotorogo klassa anizotropnykh neregulyarnykh oblastei”, Tr. MIAN, 260 (2008), 297–319 | MR | Zbl
[11] Gagliardo E., “Ulteriori proprietà di alcune classi di funzioni in più variabili”, Ricerche Mat., 8 (1959), 24–51 | MR | Zbl
[12] Nirenberg L., “On elliptic partial differential equations”, Ann. Sc. Norm. Super. Pisa. Sci. Fis. Mat. Ser. 3, 13 (1959), 115–162 | MR | Zbl