A two-dimensional scale of modular Orlicz spaces and a polylinear operator in this scale
Vladikavkazskij matematičeskij žurnal, Tome 8 (2006) no. 3, pp. 40-52 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{VMJ_2006_8_3_a3,
     author = {V. G. Fetisov},
     title = {A two-dimensional scale of modular {Orlicz} spaces and a polylinear operator in this scale},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
     pages = {40--52},
     year = {2006},
     volume = {8},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMJ_2006_8_3_a3/}
}
TY  - JOUR
AU  - V. G. Fetisov
TI  - A two-dimensional scale of modular Orlicz spaces and a polylinear operator in this scale
JO  - Vladikavkazskij matematičeskij žurnal
PY  - 2006
SP  - 40
EP  - 52
VL  - 8
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/VMJ_2006_8_3_a3/
LA  - ru
ID  - VMJ_2006_8_3_a3
ER  - 
%0 Journal Article
%A V. G. Fetisov
%T A two-dimensional scale of modular Orlicz spaces and a polylinear operator in this scale
%J Vladikavkazskij matematičeskij žurnal
%D 2006
%P 40-52
%V 8
%N 3
%U http://geodesic.mathdoc.fr/item/VMJ_2006_8_3_a3/
%G ru
%F VMJ_2006_8_3_a3
V. G. Fetisov. A two-dimensional scale of modular Orlicz spaces and a polylinear operator in this scale. Vladikavkazskij matematičeskij žurnal, Tome 8 (2006) no. 3, pp. 40-52. http://geodesic.mathdoc.fr/item/VMJ_2006_8_3_a3/

[1] Ekland I., Temam R., Vypuklyi analiz i variatsionnye problemy, Mir, M., 1979, 384 pp. | MR

[2] Ioffe A. D., Tikhomirov V. M., Teoriya ekstremalnykh zadach, Nauka, M., 1974, 479 pp. | MR | Zbl

[3] Ulyanov P. L., “Predstavlenie funktsii ryadami i klassy $\Phi(L)$”, Uspekhi mat. nauk, 27:2 (1972), 3–52 | MR | Zbl

[4] Fetisov V. G., Operatory i uravneniya v $F$-kvazinormirovannykh prostranstvakh, Dis. ... dokt. fiz.-mat. nauk, IM SO RAN, Novosibirsk, 1996, 250 pp.

[5] Rockafellar R. T., “Minimax theorems and conjugate saddle-functions”, Mathem. Scand., 14 (1964), 151–173 | MR | Zbl

[6] Rockafellar R. T., “A general correspondence between dual minimax problems and convex programs”, Pacific J. of Math., 25 (1968), 597–611 | MR | Zbl

[7] Krasnoselskii M. A., Rutitskii Ya. B., Vypuklye funktsii i prostranstva Orlicha, Fizmatgiz, M., 1958, 287 pp. | MR

[8] Orlicz W., “Über konjugierte Exponentenfolgen”, Stud. Math., 3 (1931), 200–211 | Zbl

[9] Nakano H., “Concave modulars”, Journ. Math. Soc. Japan, 5:1 (1953), 29–49 | DOI | MR | Zbl

[10] Musielak J., Orlicz spaces and modular spaces, 1034, Springer-Verlag, Berlin–Heidelberg–New York–Tokyo, 1983 | MR | Zbl

[11] Petunin Yu. I., “Dvumernye shkaly banakhovykh prostranstv”, Tr. seminara po funktsion. analizu, 9, VGU, Voronezh, 1967, 125–144