On generalization of spaces of Nlcol’sky-Besov and Lizorkin-Triebel type
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (1991), pp. 25-31.

Voir la notice de l'article provenant de la source Math-Net.Ru

B and F type spaces that were born by polyhedron G and generalize Nlcol’sky-Besov and Llzorkin-Tribel well known spaces are observed in the present paper. The maximal evaluation is proved, the characteristics of B and F spaces via maximal functions is given, the theorem on F-space function tracks is proved.
@article{UZERU_1991_1_a3,
     author = {A. Bagdasaryan},
     title = {On generalization of spaces of {Nlcol{\textquoteright}sky-Besov} and {Lizorkin-Triebel} type},
     journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
     pages = {25--31},
     publisher = {mathdoc},
     number = {1},
     year = {1991},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZERU_1991_1_a3/}
}
TY  - JOUR
AU  - A. Bagdasaryan
TI  - On generalization of spaces of Nlcol’sky-Besov and Lizorkin-Triebel type
JO  - Proceedings of the Yerevan State University. Physical and mathematical sciences
PY  - 1991
SP  - 25
EP  - 31
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/UZERU_1991_1_a3/
LA  - ru
ID  - UZERU_1991_1_a3
ER  - 
%0 Journal Article
%A A. Bagdasaryan
%T On generalization of spaces of Nlcol’sky-Besov and Lizorkin-Triebel type
%J Proceedings of the Yerevan State University. Physical and mathematical sciences
%D 1991
%P 25-31
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/UZERU_1991_1_a3/
%G ru
%F UZERU_1991_1_a3
A. Bagdasaryan. On generalization of spaces of Nlcol’sky-Besov and Lizorkin-Triebel type. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (1991), pp. 25-31. http://geodesic.mathdoc.fr/item/UZERU_1991_1_a3/

[1] V. P. Mikhailov, “O povedenii na beskonechnosti odnogo klassa mnogochlenov”, Tr. MIAN SSSR, 91, 1967, 59–81

[2] Kh. Tribel, Teoriya funktsionalnykh prostranstv, Mir, M., 1986 | MR | Zbl

[3] V. Kokilashvili, “Maksimalnye funktsii i integraly tipa potentsiala v vesovykh prostranstvakh Lebega i Lorentsa”, Tr. Mat. in-ta AN SSSR, 172, 1985, 192–201 | MR | Zbl

[4] P. I. Lizorkin, “$(L_p,L_q)$-Multiplikatory integralov Fure”, Dokl. AN SSSR, 152:4 (1963), 808–811 | Zbl

[5] A. G. Bagdasaryan, “Ob interpolyatsii i sledakh funktsii iz nekotorykh anizotropnykh funktsionalnykh prostranstv”, Izv. AN Arm. SSR, 23:4 (1988), 353–365 | MR

[6] A. G. Bagdasaryan, “Teoremy vlozheniya i interpolyatsii dlya obobschennykh prostranstv Nikolskogo-Besova”, Mezhvuz. sb. nauch. tr.: Matematika, 1988, no. 6, 218—234, Er. | Zbl

[7] A. G. Bagdasaryan, “Interpolyatsiya i sledy funktsii iz nekotorykh funktsionalnykh prostranstv”, DAN Arm.SSR, 87:5 (1988), 207–211 | MR | Zbl