Voir la notice de l'article provenant de la source Math-Net.Ru
@article{MT_2013_16_2_a0, author = {F. G. Avkhadiev and I. K. Shafigullin}, title = {Estimates of {Hardy's} constants for tubular extensions of sets and domains with finite boundary moments}, journal = {Matemati\v{c}eskie trudy}, pages = {3--12}, publisher = {mathdoc}, volume = {16}, number = {2}, year = {2013}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MT_2013_16_2_a0/} }
TY - JOUR AU - F. G. Avkhadiev AU - I. K. Shafigullin TI - Estimates of Hardy's constants for tubular extensions of sets and domains with finite boundary moments JO - Matematičeskie trudy PY - 2013 SP - 3 EP - 12 VL - 16 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MT_2013_16_2_a0/ LA - ru ID - MT_2013_16_2_a0 ER -
%0 Journal Article %A F. G. Avkhadiev %A I. K. Shafigullin %T Estimates of Hardy's constants for tubular extensions of sets and domains with finite boundary moments %J Matematičeskie trudy %D 2013 %P 3-12 %V 16 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/MT_2013_16_2_a0/ %G ru %F MT_2013_16_2_a0
F. G. Avkhadiev; I. K. Shafigullin. Estimates of Hardy's constants for tubular extensions of sets and domains with finite boundary moments. Matematičeskie trudy, Tome 16 (2013) no. 2, pp. 3-12. http://geodesic.mathdoc.fr/item/MT_2013_16_2_a0/
[1] Avkhadiev F. G., “Geometricheskie kharakteristiki oblastei, ekvivalentnykh normam nekotorykh operatorov vlozheniya”, Tr. mezhdunar. konf., posvyaschennoi P. L. Chebyshevu, v. 1, MGU, M., 1996, 12–14
[2] Avkhadiev F. G., “Reshenie obobschennoi zadachi Sen-Venana”, Matem. sb., 189:12 (1998), 3–12 | DOI | MR | Zbl
[3] Avkhadiev F. G., “Neravenstva tipa Khardi v ploskikh i prostranstvennykh otkrytykh mnozhestvakh”, Tr. MIRAN, 255, 2006, 8–18 | MR
[4] Avkhadiev F. G., Nasibullin R. G., Shafigullin I. K., “Neravenstva tipa Khardi so stepennymi i logarifmicheskimi vesami v oblastyakh evklidova prostranstva”, Izv. vuzov. Matem., 2011, no. 9, 90–94 | MR | Zbl
[5] Avkhadiev F. G., “Hardy-type inequalities in higher dimensions with explicit estimate of constants”, Lobachevskii J. Math., 21 (2006), 3–31, (electronic) | MR | Zbl
[6] Avkhadiev F. G., Wirths K.-J., “Unified Poincaré and Hardy inequalities with sharp constants for convex domains”, Z. Angew. Math. Mech., 87:8–9 (2007), 632–642 | DOI | MR | Zbl
[7] Avkhadiev F. G., Wirths K.-J., “Weighted Hardy inequalities with sharp constants”, Lobachevskii J. Math., 31:1 (2010), 1–7 | DOI | MR | Zbl
[8] Avkhadiev F. G., Wirths K.-J., “Sharp Hardy-type inequalities with Lamb's constants”, Bull. Belg. Math. Soc. Simon Stevin, 18:4 (2011), 723–736 | MR | Zbl
[9] Burenkov V. I., Sobolev Spaces on Domains, Teubner-Texte zur Mathematik, 137, B. G. Teubner Verlagsgesellschaft, Stuttgart, 1998 | MR | Zbl
[10] Davies E. B., “A Review of Hardy Inequalities”, The Maz'ya Anniversary Collection (Rostock, 1998), v. 2, Oper. Theory Adv. Appl., 110, Birkhäuser, Basel, 1999, 55–67 | MR | Zbl
[11] Hardy G. H., Littlewood J. E., Polya G., Inequalities, Cambridge Univ. Press, Cambridge, 1973
[12] Hoffmann-Ostenhof M., Hoffmann-Ostenhof T., Laptev A., “A geometrical version of Hardy's inequality”, J. Funct. Anal., 189:2 (2002), 539–548 | DOI | MR | Zbl
[13] Maz'ya V. G., Sobolev Spaces, Springer-Verlag, 1985., Berlin–New York | MR
[14] Miklyukov V. M., Vuorinen M. K., “Hardy's inequality for $W_0^{1,p}$-functions on Riemannian manifolds”, Proc. Amer. Math. Soc., 127:9 (1999), 2745–2754 | DOI | MR | Zbl
[15] Opic V., Kufner A., Hardy-Type Inequalities, Pitman Res. Notes Math. Ser., 219, Longman Sci. Tech., Harlow, 1990 | MR | Zbl