Voir la notice de l'article provenant de la source Math-Net.Ru
@article{IVM_2015_10_a5, author = {F. G. Avkhadiev}, title = {Sharp constants in {Hardy} type inequalities}, journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika}, pages = {61--65}, publisher = {mathdoc}, number = {10}, year = {2015}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/IVM_2015_10_a5/} }
F. G. Avkhadiev. Sharp constants in Hardy type inequalities. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2015), pp. 61-65. http://geodesic.mathdoc.fr/item/IVM_2015_10_a5/
[1] Davies E. B., “The Hardy constant”, Quart. J. Math. Oxford (2), 46:4 (1995), 417–431 | DOI | MR | Zbl
[2] Matskewich T., Sobolevskii P. E., “The best possible constant in a generalized Hardy's inequality for convex domains in $\mathbb R^n$”, Nonlinear Anal., 28 (1997), 1601–1610 | DOI | MR | Zbl
[3] Marcus M., Mitzel V. J., Pinchover Y., “On the best constant for Hardy's inequality in $\mathbb R^n$”, Trans. Amer. Math. Soc., 350 (1998), 3237–3250 | DOI | MR
[4] Miklyukov V. M., Vuorinen M. R., “Hardy's inequality for $W_0^{1,p}$-functions on Riemannian manifolds”, Proc. Amer. Math. Soc., 127:9 (1999), 2145–2154 | DOI | MR
[5] Barbatis G., Filippas S., Tertikas A., “A unified approach to improved $L^p$ Hardy inequalities with best constants”, Trans. Amer. Math. Soc., 356:6 (2004), 2169–2196 | DOI | MR | Zbl
[6] Avkhadiev F. G., Wirths K.-J., “Unified Poincaré and Hardy inequalities with sharp constants for convex domains”, Z. Angew. Math. Mech. (ZAMM), 87:8–9 (2007), 632–642 | DOI | MR | Zbl
[7] Avkhadiev F. G., Wirths K.-J., “Sharp Hardy-type inequalities with Lamb's constants”, Bull. Belg. Math. Soc. Simon Stevin, 18 (2011), 723–736 | MR | Zbl
[8] Avkhadiev F. G., “Hardy type inequalities in higher dimensions with explicit estimate of constants”, Lobachevskii J. Math., 21 (2006), 3–31 | MR | Zbl
[9] Avkhadiev F. G., “Neravenstva tipa Khardi v ploskikh i prostranstvennykh otkrytykh mnozhestvakh”, Tr. matem. in-ta im. V. A. Steklova, 255, 2006, 8–18 | MR | Zbl
[10] Avkhadiev F. G., Shafigullin I. K., “Tochnye otsenki konstant Khardi dlya oblastei so spetsialnymi granichnymi svoistvami”, Izv. vuzov. Matem., 2014, no. 2, 69–73 | Zbl
[11] Avkhadiev F. G., Laptev A., “Hardy inequalities for nonconvex domains”, Around Research of Vladimir Maz'ya, v. I, International Mathematical Series, 11, Function Spaces, Springer, 2010, 1–12 | DOI | MR | Zbl
[12] Avkhadiev F. G., “Semeistva oblastei, obladayuschikh maksimalnoi konstantoi Khardi”, Izv. vuzov. Matem., 2013, no. 9, 59–63 | MR | Zbl
[13] Avkhadiev F. G., “Geometricheskoe opisanie oblastei, dlya kotorykh konstanta Khardi ravna $1/4$”, Izv. RAN. Ser. matem., 78:5 (2014), 3–26 | DOI | MR | Zbl
[14] Avkhadiev F. G., “$L_p$-neravenstva tipa Khardi v oblastyakh, $r$-blizkikh k vypuklym”, Izv. vuzov. Matem., 2015, no. 1, 84–88
[15] Prokhorov D. V., Stepanov V. D., “Vesovye otsenki operatorov Rimana–Liuvillya i prilozheniya”, Tr. matem. in-ta im. V. A. Steklova, 243, 2003, 289–312 | MR | Zbl
[16] Polovinkin E. S., Balashov M. V., Elementy vypuklogo i silno vypuklogo analiza, Fizmatlit, M., 2004