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Interpolation non linéaire. (French) Zbl 0244.46047

MSC:
46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
54E35 Metric spaces, metrizability
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References:
[1] BROWDER (F.E.) [1] Remarks on Nonlinear Interpolation in Banach Spaces . Journal of Functional Analysis 4, 390-403 ( 1969 ). MR 46 #2418 | Zbl 0188.45901 · Zbl 0188.45901 · doi:10.1016/0022-1236(69)90006-8
[2] GUSTARSSON (J.) [1] Interpolation of Metric Spaces . University of Lund 1971 LIONS (J.L.) [1] Some Remarks on Variational Inequalities . Proceedings of International Conference on Functional Analysis. Tokyo. April 1969 . Zbl 0204.16404 · Zbl 0204.16404
[3] LIONS (J.L.) [2] Théorèmes de Traces et d’Interpolation . I - V. Ann. Scuola. Norm. Sup. Pisa (3) 13, 389-403 ( 1959 ) ; ibidem 14, 317-331 ( 1960 ) ; J Maths Pures Appl. (9) 42, 195-203 ( 1963 ) ; Math. Ann. 151, 42-56 ( 1963 ) ; An. Acad. Brasil. Ci ( 1963 ). Numdam · numdam:ASNSP_1959_3_13_4_389_0
[4] LORENTY. (G.G.) , SHIMOGAKI (T.) [1] Majorants for Interpolation Theorems . Publ. Ramanujan Inst. n^\circ 1 ( 1968 / 1969 ) 115-122. MR 43 #954 | Zbl 0194.43605 · Zbl 0194.43605
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[6] PEETRE (J.) [1] Interpolation of Lipschitz Operators and Metric Spaces . Mathematica Cluj. 12 ( 1970 ) 325-334. MR 58 #2354 | Zbl 0217.44504 · Zbl 0217.44504
[7] PEETRE (J.) [2] A theory of Interpolation of Norme d Spaces . Lectures Notes Brasilia ( 1963 ) (Notas de Matematica n^\circ 39. 1968 ). Zbl 0162.44502 · Zbl 0162.44502
[8] PEETRE (J.) [3] A New Approach in Interpolation Spaces . Studia Matematica T. XXXIV ( 1970 ) 23-42. Article | MR 41 #8985 | Zbl 0188.43602 · Zbl 0188.43602 · eudml:217430
[9] PEETRE (J.) [4] Sur le Nombre de Paramètres dans la Définition de Certains Espaces d’Interpolation . Ricerche. Mat. 12 ( 1963 ) 248-261. MR 29 #6298 | Zbl 0125.06501 · Zbl 0125.06501
[10] PEETRE (J.) [5] Espaces d’Interpolation et Théorème de Sobolev . Ann. Inst. Fourier 16 ( 1966 ) 279-317. Numdam | MR 36 #4334 | Zbl 0151.17903 · Zbl 0151.17903 · doi:10.5802/aif.232 · numdam:AIF_1966__16_1_279_0 · eudml:73895
[11] PEETRE (J.) SPARR (G.) [1] Interpolation of Normed Abelian Groups . A paraître dans Ann. Math. Pures. Appl. Zbl 0237.46039 · Zbl 0237.46039 · doi:10.1007/BF02417949
[12] SHIMOGAKI (T.) [1] An Interpolation Theorem on Banach Function Spaces . Studia Mathematica T. XXXI ( 1968 ) 233-240. Article | MR 38 #2618 | Zbl 0172.40101 · Zbl 0172.40101 · eudml:217307
[13] TATAR (L.) [1] Théorèmes d’Interpolation Non Linéaire et Application . C.R.A.S. t 270 ( 1970 ) 1729-1731. MR 43 #3795 | Zbl 0201.45201 · Zbl 0201.45201
[14] TATAR (L.) [2] Théorèmes de Traces Non Linéaires et Applications . C.R.A.S. t 271 ( 1970 ) 789-791. MR 42 #3564 | Zbl 0199.43504 · Zbl 0199.43504
[15] TATAR (L.) [3] Thèse PARIS . avril 1971 .
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