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Lions, Jacques-Louis

Théorèmes de trace et d’interpolation. IV. (French) Zbl 0118.32001

Math. Ann. 151, 42-56 (1963).
For Part III see J. Math. Pures Appl. (9) 42, 195–203 (1963; Zbl 0123.10003). Proofs of results previously announced in a note [C. R. Acad. Sci., Paris 249, 2259–2261 (1959; Zbl 0097.09601)]; we refer to that review for details.
Reviewer: J. Peetre
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Cited in 10 Documents

MSC:

46E99 Linear function spaces and their duals

Keywords:

functional analysis

Citations:

Zbl 0123.10003; Zbl 0097.09601
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\textit{J.-L. Lions}, Math. Ann. 151, 42--56 (1963; Zbl 0118.32001)
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References:

[1] Aronszajn, N., andK. T. Smith: Theory of Bessel potentials ? (I) (II). Ann. Inst. Fourier XI, 385-475 (1961). · Zbl 0102.32401
[2] Babitch, V. N.: Le problème du prolongement à la frontière. Ouspechi Mat. Nauk.8, 111-113 (1953).
[3] Caldéron, A. P.: Intermediate spaces and interpolation. Colloque de Varsovie. September 1960.
[4] Deny, J., etJ. L. Lions: Les espaces du type de Beppo-Levi. Ann. Inst. Fourier5, 305-370 (1955).
[5] Gagliardo, E.: Caratterizzazione delle trace sulla frontiera relative ad alcune classi di funzioni inn variabili. Rend. Sem. Mat. Padova27, 284-305 (1957). · Zbl 0087.10902
[6] ?? Interpolazioni di spazi di Banach e applicazioni. Richerche di Mat. IX, 58-81 (1960). · Zbl 0097.09402
[7] Hardy, G. H., J. E. Littlewood andG. Polya: Inequalities. Cambridge University Press 1943.
[8] Hörmander, L., etJ. L. Lions: Sur la complétion par rapport à une intégrale de Dirichlet. Math. Scand.4, 259-270 (1956). · Zbl 0078.28003
[9] Lions, J. L.: Théorèmes de trace et d’interpolation (I). Ann. Scuola Norm. Sup. Pisa, XIII, 389-403 (1959).
[10] ?? Un théorème de traces; applications. C. R. Acad. Sci. (Paris)249, 2259-2261 (1959). · Zbl 0097.09601
[11] ?? Une construction d’espaces d’ interpolation. C. R. Acad. Sci. (Paris)251, 1851 bis 1855 (1860).
[12] ?? Sur les espaces d’interpolation; dualité. Math. Scand.9, 147-177 (1961). · Zbl 0103.08102
[13] ??, etE. Magenes: Problèmes aux limites non homogènes ? (I), (III), (IV), (V). Ann. scuola Norm. Sup. Pisa XIV, 259-308 (1960); XV, 39-101 (1961); XV, 311-326 (1961); XVI, 1-44 (1962). Article (II): Annales Inst. Fourier11, 137-178 (1961).
[14] Nikolskii, S. M.: Sur les théorèmes de plongement et de prolongement et leurs applications aux fonctions différentiables de plusieurs variables. Ouspechi Mat. Nauk, XVI, 63-114 (1961).
[15] Schwartz, L.: Théorie des distributions à valeurs vectorielles ? (I), (II). Ann. Inst. Fourier7, 1-139 (1957);8, 1-209 (1958).
[16] Slobodetski, L. N.: Doklady Akad. Nauk123, 616-619 (1958).
[17] Sobolev, S. L.: Applications de l’analyse fonctionnelle à la physique mathématique. Léningrad 1950.
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