Geodesic
A generalized trace method in the interpolation theory of Banach spaces
Sbornik. Mathematics, Tome 34 (1978) no. 5, pp. 645-653
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The paper presents a generalization of the method of interpolating Banach spaces due to Lions. Arbitrary weight functions are considered in place of the power weights used by Lions. The interpolated spaces which arise are described. Bibliography: 4 titles. 
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G. A. Kalyabin. A generalized trace method in the interpolation theory of Banach spaces. Sbornik. Mathematics, Tome 34 (1978) no. 5, pp. 645-653. http://geodesic.mathdoc.fr/item/SM_1978_34_5_a4/

[1] E. Madzhenes, “Interpolyatsionnye prostranstva i uravneniya v chastnykh proizvodnykh”, Uspekhi matem. nauk, XXI:2(128) (1966), 169–218

[2] G. A. Kalyabin, “Zadacha o sledakh dlya vesovykh anizotropnykh prostranstv liuvilevskogo tipa”, Izv. AN SSSR, seriya matem., 41 (1977), 1138–1151

[3] E. Gagliardo, “Una struttura unitaria in diverse famiglie di spazi functionali”, Richerche Mat., 10 (1961), 247–281 | MR

[4] T. L. Lions, J. Peetre, “Sur une classe d'espaces d'interpolation”, Inst. Hautes Etudes. Sci. Publ. Math., 19 (1964), 5–68 | DOI | Zbl