Geodesic
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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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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