Voir la notice de l'article provenant de la source Math-Net.Ru
@article{TM_2005_248_a5, author = {O. V. Besov}, title = {Interpolation, {Embedding,} and {Extension} of {Spaces} of {Functions} of {Variable} {Smoothness}}, journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova}, pages = {52--63}, publisher = {mathdoc}, volume = {248}, year = {2005}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/TM_2005_248_a5/} }
TY - JOUR AU - O. V. Besov TI - Interpolation, Embedding, and Extension of Spaces of Functions of Variable Smoothness JO - Trudy Matematicheskogo Instituta imeni V.A. Steklova PY - 2005 SP - 52 EP - 63 VL - 248 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TM_2005_248_a5/ LA - ru ID - TM_2005_248_a5 ER -
O. V. Besov. Interpolation, Embedding, and Extension of Spaces of Functions of Variable Smoothness. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Studies on function theory and differential equations, Tome 248 (2005), pp. 52-63. http://geodesic.mathdoc.fr/item/TM_2005_248_a5/
[1] Besov O.V., Ilin V.P., Nikolskii S.M., Integralnye predstavleniya funktsii i teoremy vlozheniya, Nauka, M., 1996
[2] Triebel H., Theory of function spaces, Birkhäuser, Basel, 1983 ; Трибель Х., Теория функциональных пространств, Мир, М., 1986 | MR | Zbl | MR | Zbl
[3] Kalyabin G.A., Lizorkin P.I., “Spaces of functions of generalized smoothness”, Math. Nachr., 133 (1987), 7–32 | DOI | MR | Zbl
[4] Merucci C., “Applications of interpolation with a function parameter to Lorentz, Sobolev and Besov spaces”, Lect. Notes Math., 1070 (1984), 183–201 | DOI | MR | Zbl
[5] Cobos P., Fernandez D.L., “Hardy–Sobolev spaces and Besov spaces with a function parameter”, Lect. Notes Math., 1302 (1988), 158–170 | DOI | MR | Zbl
[6] Besov O.V., “Vlozheniya prostranstv differentsiruemykh funktsii peremennoi gladkosti”, Tr. MIAN, 214 (1997), 25–58 | Zbl
[7] Besov O.V., “Ekvivalentnye normirovki prostranstv funktsii peremennoi gladkosti”, Tr. MIAN, 243 (2003), 87–95 | Zbl
[8] Leopold H.-G., Pseudodifferentialoperatoren und Funktionenräume variabler Glattheit: Diss. B, Friedrich-Schiller-Univ., Jena, 1987 | MR
[9] Leopold H.-G., “On function spaces of variable order of differentiation”, Forum math., 3 (1991), 1–21 | DOI | MR | Zbl
[10] Besov O.V., “O prostranstvakh funktsii peremennoi gladkosti, opredelyaemykh psevdodifferentsialnymi operatorami”, Tr. MIAN, 227 (1999), 56–74 | Zbl
[11] Triebel H., Interpolation theory, function spaces, differential operators, VEB Dtsch. Verl. Wiss., Berlin, 1978 ; Трибель Х., Теория интерполяции, функциональные пространства, дифференциальные операторы, Мир, М., 1980 | MR | MR
[12] Bergh J., Löfström J., Interpolation spaces: An introduction, Springer, Heidelberg, 1976 ; Берг Й., Лёфстрём Й., Интерполяционные пространства: Введение, Мир, М., 1980 | MR | Zbl | MR
[13] Besov O.V., “Interpolyatsiya i vlozheniya prostranstv obobschennykh funktsii $B_{p,q}^s$, $F_{p,q}^s$ na oblasti”, Tr. MIAN, 219 (1997), 80–102 | Zbl