|
|
|
|
References
|
|
| |
| 1. |
Ball K., Carlen E., Lieb E., “Sharp uniform convexity and smoothness inequlities for trace norms”, Invent. Math., 115:3 (1994), 463–482      |
| 2. |
Burkholder D. L., “Boundary value problems and sharp inequalities for martingale transforms”, Ann. Probab., 12:3 (1984), 647–702 |
| 3. |
Caffarelli L., Nirenberg L., Spruck J., “The Dirichlet problem for the degenerate Monge–Ampère equation”, Rev. Mat. Iberoamericana, 2:1–2 (1986), 19–27 |
| 4. |
Clarkson J. A., “Uniformly convex spaces”, Trans. Amer. Math. Soc., 40:3 (1936), 396–414 |
| 5. |
Diestel J., Jarschow H., Tonge A., Absolutely summing operators, Cambridge Stud. Adv. Math., 43, Cambridge Univ. Press, Cambridge, 1995 |
| 6. |
Hanner O., “On the uniform convexity of $L^p$ and $l^p$”, Ark. Mat., 3 (1956), 239–244 |
| 7. |
Ivanishvili P., Osipov N. N., Stolyarov D. M., Vasyunin V. I., Zatitskiy P. B., “On Bellman function for extremal problems in BMO”, C. R. Math. Acad. Sci. Paris, 350:11–12 (2012), 561–564 |
| 8. |
Nazarov F., Treil S., Volberg A., “A Bellman function in stochastic control and harmonic analysis”, Oper. Theory Adv. Appl., 129, Birkhäuser, Basel, 2001, 393–423 |
| 9. |
Slavin L., Vasyunin V., “Sharp $L^p$ estimates on BMO”, Indiana Univ. Math. J., 61:3 (2012), 1051–1110  |
| 10. |
Vasyunin V. I., “Tochnye konstanty v obratnom neravenstve Gëldera dlya vesov Makenkhaupta”, Algebra i analiz, 15:1 (2003), 73–117  |
| 11. |
Ivanishvili P., Osipov N. N., Stolyarov D. M., Vasyunin V. I., Zatitskii P. B., Funktsiya Bellmana dlya ekstremalnykh zadach v prostranstve BMO, Preprint № 19, POMI, 2011; arXiv: 1205.7018; Trans. Amer. Math. Soc. (to appear) |
| 12. |
Pogorelov A. I., Differentsialnaya geometriya, 6-e izd., Nauka, M., 1974 |
