|
|
|
References
|
|
|
1. |
Astashkin S. V., “Rademacher chaos in symmetric spaces”, East J. Approx., 4:3 (1998), 311–336 |
2. |
Astashkin S. V., “Nezavisimye funktsii v simmetrichnykh prostranstvakh i svoistvo Kruglova”, Mat. sb., 199:7 (2008), 3–20 |
3. |
Astashkin S. V., “Funktsii Rademakhera v simmetrichnykh prostranstvakh”, Sovrem. mat. Fundam. napravl., 32, 2009, 3–161 |
4. |
Astashkin S. V., Braverman M. Sh., “O podprostranstve simmetrichnogo prostranstva, porozhdennom sistemoi Rademakhera s vektornymi koeffitsientami”, Operatornye uravneniya v funkts. prostranstvakh, Voronezh. gos. un-t, Voronezh, 1986, 3–10 |
5. |
Astashkin S. V., Lykov K. V., “Ekstrapolyatsionnoe opisanie prostranstv Lorentsa i Martsinkevicha, “blizkikh” k $L_\infty$”, Sib. mat. zh., 47:5 (2006), 974–992 |
6. |
Astashkin S. V., Lykov K. V., “Silno ekstrapolyatsionnye prostranstva i interpolyatsiya”, Sib. mat. zh., 50:2 (2009), 250–266 |
7. |
Astashkin S. V., Semenov E. M., “Prostranstva, opredelyaemye funktsiei Peli”, Mat. sb., 204:7 (2013), 3–24 |
8. |
Astashkin S. V., Sukochev F. A., “Series of independent random variables in rearrangement invariant spaces: an operator approach”, Israel J. Math., 145 (2005), 125–156 |
9. |
Astashkin S. V., Sukochev F. A., “Nezavisimye funktsii i geometriya banakhovykh prostranstv”, Uspekhi mat. nauk, 65:6 (2010), 3–86 |
10. |
Braverman M. Sh., Independent random variables and rearrangement invariant spaces, London Math. Soc. Lect. Note Ser., 194, Cambridge Univ. Press, Cambridge, 1994 |
11. |
Burkholder D. L., “Martingale transforms”, Ann. Math. Statist., 37 (1966), 1494–1504 |
12. |
Golubov B. I., “Ryady po sisteme Khaara”, Itogi nauki. Ser. Mat. anal. 1970, VINITI, M., 1971, 109–146 |
13. |
Hitczenko P., “Domination inequality for martingale transforms of a Rademacher sequence”, Israel J. Math., 84:1–2 (1993), 161–178 |
14. |
Kamińska A., Maligranda L., Persson L.-E., “Type, cotype and convexity properties of Orlicz spaces”, Publ. Depart. Anal. Matem., 42, Fac. Mat., Univ. Madrid, 1996–1997, 113–126 |
15. |
Kashin B. S., Saakyan A. A., Ortogonalnye ryady, AFTs, M., 1999 |
16. |
Kachmazh S., Shteingauz G., Teoriya ortogonalnykh ryadov, Fizmatgiz, M., 1958 |
17. |
Kikuchi M., “Characterization of Banach function spaces that preserve the Burkholder square-function inequality”, Illinois J. Math., 47:3 (2003), 867–882 |
18. |
Krein S. G., Petunin Yu. I., Semenov E. M., Interpolyatsiya lineinykh operatorov, Nauka, M., 1978 |
19. |
Lelond O. V., Semenov E. M., Uksusov S. N., “Prostranstvo multiplikatorov Fure–Khaara”, Sib. mat. zh., 46:1 (2005), 130–138 |
20. |
Lindenstrauss J., Tzafriri L., Classical Banach spaces, v. II, Ergeb. Math. Grenzgeb. (3), 97, Function spaces, Springer-Verlag, Berlin etc., 1979 |
21. |
Lorentz G. G., “Relations between function spaces”, Proc. Amer. Math. Soc., 12 (1961), 127–132 |
22. |
Müller P. F., Isomorphisms between $H^1$ spaces, Math. Monogr., 66, Birkhäuser Verlag, Basel, 2005 |
23. |
Neveu J., Discrete Parameter Martingales, North-Holland. Math. Library, 10, North.-Holland Publ. Co., Amsterdam, 1975 |
24. |
Novikov I., Semenov E., Haar series and linear operators, Math. Appl., 367, Kluwer Acad. Publ. Group, Dordrecht, 1997 |
25. |
Rodin V. A., Semenov E. M., “Rademacher seriesin symmetric spaces”, Anal. Math., 1:3 (1975), 207–222 |
26. |
Shiryaev A. N., Veroyatnost, Nauka, M., 1980 |
27. |
Szarek S. J., “On the best constant in the Khintchine inequality”, Stud. Math., 58:2 (1976), 197–208 |
28. |
Elliott R., Stokhasticheskii analiz i ego prilozheniya, Mir, M., 1986 |