On Spaces of Functions of Variable Smoothness Defined by Pseudodifferential Operators
Informatics and Automation, Investigations in the theory of differentiable functions of many variables and its applications. Part 18, Tome 227 (1999), pp. 56-74.

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

@article{TRSPY_1999_227_a2,
     author = {O. V. Besov},
     title = {On {Spaces} of {Functions} of {Variable} {Smoothness} {Defined} by {Pseudodifferential} {Operators}},
     journal = {Informatics and Automation},
     pages = {56--74},
     publisher = {mathdoc},
     volume = {227},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_1999_227_a2/}
}
TY  - JOUR
AU  - O. V. Besov
TI  - On Spaces of Functions of Variable Smoothness Defined by Pseudodifferential Operators
JO  - Informatics and Automation
PY  - 1999
SP  - 56
EP  - 74
VL  - 227
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TRSPY_1999_227_a2/
LA  - ru
ID  - TRSPY_1999_227_a2
ER  - 
%0 Journal Article
%A O. V. Besov
%T On Spaces of Functions of Variable Smoothness Defined by Pseudodifferential Operators
%J Informatics and Automation
%D 1999
%P 56-74
%V 227
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TRSPY_1999_227_a2/
%G ru
%F TRSPY_1999_227_a2
O. V. Besov. On Spaces of Functions of Variable Smoothness Defined by Pseudodifferential Operators. Informatics and Automation, Investigations in the theory of differentiable functions of many variables and its applications. Part 18, Tome 227 (1999), pp. 56-74. http://geodesic.mathdoc.fr/item/TRSPY_1999_227_a2/

[1] Leopold H.-G., Pseudodifferentialoperatoren und Funktionenräume variabler Glattheit, Friedrich-Schiller-Univ., Diss. B. Jena, 1987

[2] Leopold H.-G., “On Besov spaces of variable order of differentiation”, Ztschr. Anal. und Anwend., 8:1 (1989), 69–82 | MR | Zbl

[3] Leopold H.-G., “Interpolation of Besov spaces of variable order of differentiation”, Arch. Math., 53 (1989), 178–187 | DOI | MR | Zbl

[4] Leopold H.-G., “On function spaces of variable order of differentiation”, Forum math., 3 (1991), 1–21 | DOI | MR | Zbl

[5] Besov O. V., “Vlozheniya prostranstv funktsii peremennoi gladkosti”, DAN SSSR, 347:1 (1996), 7–10 | MR | Zbl

[6] Besov O. V., “Vlozheniya prostranstv funktsii peremennoi gladkosti”, Tr. MIAN, 214, 1997, 25–58 | Zbl

[7] Kumano-go H., Pseudo-differential operators, Massachusetts Inst. Techn. Press, Cambridge (Mass.), 1981

[8] Bourdaud G., “$L^p$-estimates for certain non-regular pseudo-differential operators”, Commun. Part. Diff. Equat., 7 (1982), 1023–1033 | DOI | MR | Zbl

[9] Illner R., “A class of $L^p$-bounded pseudo-differential operators”, Proc. Amer. Math. Soc., 51 (1975), 347–355 | DOI | MR | Zbl

[10] Bergh J., Löfström J., Interpolation spaces. An introduction, Springer-Verl., Heidelberg, 1976 ; Berg I., Lëfstrem I., Interpolyatsionnye prostranstva. Vvedenie, Mir, M., 1980 | MR | Zbl | MR

[11] Triebel H., Interpolation theory, function spaces, differential operators, VEB Dtsch. Verl. Wiss., Berlin, 1978 ; Tribel Kh., Teoriya interpolyatsii, funktsionalnye prostranstva, differentsialnye operatory, Mir, M., 1980 | MR | MR

[12] Besov O. V., “Primenenie integralnykh predstavlenii funktsii k interpolyatsii prostranstv differentsiruemykh funktsii i multiplikatoram integralov Fure”, Tr. MIAN, 187, 1989, 3–21 | MR

[13] Besov O. V., “Interpolyatsiya prostranstv differentsiruemykh funktsii, zadannykh na oblasti”, Tr. MIAN, 201, 1992, 26–42 | MR | Zbl

[14] Besov O. V., Ilin V. P., Nikolskii S. M., Integralnye predstavleniya funktsii i teoremy vlozheniya, Nauka, M., 1996 | MR

[15] Volevich R. L., Kagan V. M., “Psevdodifferentsialnye gipoellipticheskie operatory v teorii funktsionalnykh prostranstv”, Tr. Mosk. mat. o-va, 20, 1969, 241–275 | Zbl

[16] Besov O. V., “O funktsionalnykh prostranstvakh, opredelyaemykh psevdodifferentsialnymi operatorami”, Dokl. RAN, 367:6 (1999), 730–733 | MR | Zbl