@article{AA_2010_22_4_a6,
author = {V. I. Ovchinnikov},
title = {The quasinormed {Neumann{\textendash}Schatten} ideals and embedding theorems for the generalized {Lions{\textendash}Peetre} spaces of means},
journal = {Algebra i analiz},
pages = {214--231},
year = {2010},
volume = {22},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/AA_2010_22_4_a6/}
}
TY - JOUR AU - V. I. Ovchinnikov TI - The quasinormed Neumann–Schatten ideals and embedding theorems for the generalized Lions–Peetre spaces of means JO - Algebra i analiz PY - 2010 SP - 214 EP - 231 VL - 22 IS - 4 UR - http://geodesic.mathdoc.fr/item/AA_2010_22_4_a6/ LA - ru ID - AA_2010_22_4_a6 ER -
V. I. Ovchinnikov. The quasinormed Neumann–Schatten ideals and embedding theorems for the generalized Lions–Peetre spaces of means. Algebra i analiz, Tome 22 (2010) no. 4, pp. 214-231. http://geodesic.mathdoc.fr/item/AA_2010_22_4_a6/
[1] Aronszajn N., Gagliardo E., “Interpolation spaces and interpolation methods”, Ann. Mat. Pura Appl. (4), 68 (1965), 51–117 | DOI | MR | Zbl
[2] Brudnyi Yu. A., Krugljak N. Ya., Interpolation functors and interpolation spaces, v. I, North-Holland Math. Library, 47, North-Holland, Amsterdam, 1991 | MR | Zbl
[3] Brudnyi Yu. A., Shteinberg A., “Calderón couples of Lipschitz spaces”, J. Funct. Anal., 131 (1995), 459–498 | DOI | MR | Zbl
[4] Dikarev V. A., Matsaev V. I., “Tochnaya interpolyatsionnaya teorema”, Dokl. AN SSSR, 168:5 (1966), 986–988 | MR | Zbl
[5] Dmitriev A. A., Semenov E. M., “Optimalnost interpolyatsionnoi teoremy M. Rissa v verkhnem treugolnike”, Dokl. AN SSSR, 258:6 (1981), 1298–1300 | MR | Zbl
[6] Janson S., “Minimal and maximal methods of interpolation”, J. Funct. Anal., 44 (1981), 50–73 | DOI | MR | Zbl
[7] Kravishvili E. D., “Metod srednikh s proizvolnym funktsionalnym parametrom”, Tr. mat. fak. Voronezh. gos. un-ta (Nov. ser.), 2002, no. 7, 58–72
[8] Kravishvili E. D., Ovchinnikov V. I., “Opisanie interpolyatsionnykh orbit idealov Neimana–Shattena, deistvuyuschikh v gilbertovykh parakh, i teoremy vlozheniya”, Dokl. RAN, 393:1 (2003), 10–13 | MR
[9] Lions J.-L., Peetre J., “Sur une classe d'espaces d'interpolation”, Inst. Hautes Études Sci. Publ. Math., 19 (1964), 5–68 | DOI | MR | Zbl
[10] Milman M., “The computation of the $K$-functional for couples of rearrangement invariant spaces”, Resultate Math., 5 (1982), 174–176 | MR | Zbl
[11] Ovchinnikov V. I., “Tochnaya interpolyatsionnaya teorema v prostranstvakh $L_p$”, Dokl. AN SSSR, 272:2 (1983), 300–303 | MR | Zbl
[12] Ovchinnikov V. I., “Interpolyatsionnye orbity v parakh prostranstv Lebega”, Funkts. anal. i ego pril., 39:1 (2005), 56–68 | MR | Zbl
[13] Ovchinnikov V. I., “The method of orbits in interpolation theory”, Math. Rep., 1:2 (1984), 349–516 | MR
[14] Ovchinnikov V. I., “Interpolation orbits in couples of $L_p$ spaces”, C. R. Math. Acad. Sci. Paris, 334 (2002), 881–884 | MR | Zbl
[15] Ovchinnikov V. I., “Criteria for embedding of spaces constructed by the method of means with arbitrary quasi-concave functional parameters”, J. Funct. Anal., 228 (2005), 234–243 | DOI | MR | Zbl
[16] Sedaev A. A., “Opisanie interpolyatsionnykh prostranstv pary $(L^p_{\alpha_0},L^p_{\alpha_1})$ i nekotorye rodstvennye voprosy”, Dokl. AN SSSR, 209:4 (1973), 798–800 | MR | Zbl
[17] Riesz M., “Sur les maxima des formes bilinéaires et sur les fonctionnelles linéaires”, Acta Math., 49 (1926), 465–497 | DOI | MR